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Simplifying 2(x + -28) + -1(6(18 + -2x) + -4(8x + 12)) = 8(5x + -1(3x + -8)) Reorder the terms: 2(-28 + x) + -1(6(18 + -2x) + -4(8x + 12)) = 8(5x + -1(3x + -8)) (-28 * 2 + x * 2) + -1(6(18 + -2x) + -4(8x + 12)) = 8(5x + -1(3x + -8)) (-56 + 2x) + -1(6(18 + -2x) + -4(8x + 12)) = 8(5x + -1(3x + -8)) -56 + 2x + -1((18 * 6 + -2x * 6) + -4(8x + 12)) = 8(5x + -1(3x + -8)) -56 + 2x + -1((108 + -12x) + -4(8x + 12)) = 8(5x + -1(3x + -8)) Reorder the terms: -56 + 2x + -1(108 + -12x + -4(12 + 8x)) = 8(5x + -1(3x + -8)) -56 + 2x + -1(108 + -12x + (12 * -4 + 8x * -4)) = 8(5x + -1(3x + -8)) -56 + 2x + -1(108 + -12x + (-48 + -32x)) = 8(5x + -1(3x + -8)) Reorder the terms: -56 + 2x + -1(108 + -48 + -12x + -32x) = 8(5x + -1(3x + -8)) Combine like terms: 108 + -48 = 60 -56 + 2x + -1(60 + -12x + -32x) = 8(5x + -1(3x + -8)) Combine like terms: -12x + -32x = -44x -56 + 2x + -1(60 + -44x) = 8(5x + -1(3x + -8)) -56 + 2x + (60 * -1 + -44x * -1) = 8(5x + -1(3x + -8)) -56 + 2x + (-60 + 44x) = 8(5x + -1(3x + -8)) Reorder the terms: -56 + -60 + 2x + 44x = 8(5x + -1(3x + -8)) Combine like terms: -56 + -60 = -116 -116 + 2x + 44x = 8(5x + -1(3x + -8)) Combine like terms: 2x + 44x = 46x -116 + 46x = 8(5x + -1(3x + -8)) Reorder the terms: -116 + 46x = 8(5x + -1(-8 + 3x)) -116 + 46x = 8(5x + (-8 * -1 + 3x * -1)) -116 + 46x = 8(5x + (8 + -3x)) Reorder the terms: -116 + 46x = 8(8 + 5x + -3x) Combine like terms: 5x + -3x = 2x -116 + 46x = 8(8 + 2x) -116 + 46x = (8 * 8 + 2x * 8) -116 + 46x = (64 + 16x) Solving -116 + 46x = 64 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -116 + 46x + -16x = 64 + 16x + -16x Combine like terms: 46x + -16x = 30x -116 + 30x = 64 + 16x + -16x Combine like terms: 16x + -16x = 0 -116 + 30x = 64 + 0 -116 + 30x = 64 Add '116' to each side of the equation. -116 + 116 + 30x = 64 + 116 Combine like terms: -116 + 116 = 0 0 + 30x = 64 + 116 30x = 64 + 116 Combine like terms: 64 + 116 = 180 30x = 180 Divide each side by '30'. x = 6 Simplifying x = 6
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