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Simplifying 4x + -5x + 12 = 2(x + -7) Reorder the terms: 12 + 4x + -5x = 2(x + -7) Combine like terms: 4x + -5x = -1x 12 + -1x = 2(x + -7) Reorder the terms: 12 + -1x = 2(-7 + x) 12 + -1x = (-7 * 2 + x * 2) 12 + -1x = (-14 + 2x) Solving 12 + -1x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -1x + -2x = -14 + 2x + -2x Combine like terms: -1x + -2x = -3x 12 + -3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -3x = -14 + 0 12 + -3x = -14 Add '-12' to each side of the equation. 12 + -12 + -3x = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -14 + -12 -3x = -14 + -12 Combine like terms: -14 + -12 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667
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