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Simplifying -8(x + 1) + 4(3x + -5) = 3(x + -5) + 8 Reorder the terms: -8(1 + x) + 4(3x + -5) = 3(x + -5) + 8 (1 * -8 + x * -8) + 4(3x + -5) = 3(x + -5) + 8 (-8 + -8x) + 4(3x + -5) = 3(x + -5) + 8 Reorder the terms: -8 + -8x + 4(-5 + 3x) = 3(x + -5) + 8 -8 + -8x + (-5 * 4 + 3x * 4) = 3(x + -5) + 8 -8 + -8x + (-20 + 12x) = 3(x + -5) + 8 Reorder the terms: -8 + -20 + -8x + 12x = 3(x + -5) + 8 Combine like terms: -8 + -20 = -28 -28 + -8x + 12x = 3(x + -5) + 8 Combine like terms: -8x + 12x = 4x -28 + 4x = 3(x + -5) + 8 Reorder the terms: -28 + 4x = 3(-5 + x) + 8 -28 + 4x = (-5 * 3 + x * 3) + 8 -28 + 4x = (-15 + 3x) + 8 Reorder the terms: -28 + 4x = -15 + 8 + 3x Combine like terms: -15 + 8 = -7 -28 + 4x = -7 + 3x Solving -28 + 4x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -28 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 1x = -7 + 0 -28 + 1x = -7 Add '28' to each side of the equation. -28 + 28 + 1x = -7 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -7 + 28 1x = -7 + 28 Combine like terms: -7 + 28 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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