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Simplifying -2(x + 7) + 8 + -1x = 3(x + -4) Reorder the terms: -2(7 + x) + 8 + -1x = 3(x + -4) (7 * -2 + x * -2) + 8 + -1x = 3(x + -4) (-14 + -2x) + 8 + -1x = 3(x + -4) Reorder the terms: -14 + 8 + -2x + -1x = 3(x + -4) Combine like terms: -14 + 8 = -6 -6 + -2x + -1x = 3(x + -4) Combine like terms: -2x + -1x = -3x -6 + -3x = 3(x + -4) Reorder the terms: -6 + -3x = 3(-4 + x) -6 + -3x = (-4 * 3 + x * 3) -6 + -3x = (-12 + 3x) Solving -6 + -3x = -12 + 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. -6 + -3x + -3x = -12 + 3x + -3x Combine like terms: -3x + -3x = -6x -6 + -6x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -6x = -12 + 0 -6 + -6x = -12 Add '6' to each side of the equation. -6 + 6 + -6x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -12 + 6 -6x = -12 + 6 Combine like terms: -12 + 6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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