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Simplifying 3(x + -4) + -14 = 2(x + -7) + 5 Reorder the terms: 3(-4 + x) + -14 = 2(x + -7) + 5 (-4 * 3 + x * 3) + -14 = 2(x + -7) + 5 (-12 + 3x) + -14 = 2(x + -7) + 5 Reorder the terms: -12 + -14 + 3x = 2(x + -7) + 5 Combine like terms: -12 + -14 = -26 -26 + 3x = 2(x + -7) + 5 Reorder the terms: -26 + 3x = 2(-7 + x) + 5 -26 + 3x = (-7 * 2 + x * 2) + 5 -26 + 3x = (-14 + 2x) + 5 Reorder the terms: -26 + 3x = -14 + 5 + 2x Combine like terms: -14 + 5 = -9 -26 + 3x = -9 + 2x Solving -26 + 3x = -9 + 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. -26 + 3x + -2x = -9 + 2x + -2x Combine like terms: 3x + -2x = 1x -26 + 1x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 1x = -9 + 0 -26 + 1x = -9 Add '26' to each side of the equation. -26 + 26 + 1x = -9 + 26 Combine like terms: -26 + 26 = 0 0 + 1x = -9 + 26 1x = -9 + 26 Combine like terms: -9 + 26 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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