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Simplifying 8(x + -3) + -6(x + 3) = -2(8 + -3x) + 2(4x + -7) Reorder the terms: 8(-3 + x) + -6(x + 3) = -2(8 + -3x) + 2(4x + -7) (-3 * 8 + x * 8) + -6(x + 3) = -2(8 + -3x) + 2(4x + -7) (-24 + 8x) + -6(x + 3) = -2(8 + -3x) + 2(4x + -7) Reorder the terms: -24 + 8x + -6(3 + x) = -2(8 + -3x) + 2(4x + -7) -24 + 8x + (3 * -6 + x * -6) = -2(8 + -3x) + 2(4x + -7) -24 + 8x + (-18 + -6x) = -2(8 + -3x) + 2(4x + -7) Reorder the terms: -24 + -18 + 8x + -6x = -2(8 + -3x) + 2(4x + -7) Combine like terms: -24 + -18 = -42 -42 + 8x + -6x = -2(8 + -3x) + 2(4x + -7) Combine like terms: 8x + -6x = 2x -42 + 2x = -2(8 + -3x) + 2(4x + -7) -42 + 2x = (8 * -2 + -3x * -2) + 2(4x + -7) -42 + 2x = (-16 + 6x) + 2(4x + -7) Reorder the terms: -42 + 2x = -16 + 6x + 2(-7 + 4x) -42 + 2x = -16 + 6x + (-7 * 2 + 4x * 2) -42 + 2x = -16 + 6x + (-14 + 8x) Reorder the terms: -42 + 2x = -16 + -14 + 6x + 8x Combine like terms: -16 + -14 = -30 -42 + 2x = -30 + 6x + 8x Combine like terms: 6x + 8x = 14x -42 + 2x = -30 + 14x Solving -42 + 2x = -30 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -42 + 2x + -14x = -30 + 14x + -14x Combine like terms: 2x + -14x = -12x -42 + -12x = -30 + 14x + -14x Combine like terms: 14x + -14x = 0 -42 + -12x = -30 + 0 -42 + -12x = -30 Add '42' to each side of the equation. -42 + 42 + -12x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -12x = -30 + 42 -12x = -30 + 42 Combine like terms: -30 + 42 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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