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Simplifying 2(x + -4) + 7 = 3(x + -5) Reorder the terms: 2(-4 + x) + 7 = 3(x + -5) (-4 * 2 + x * 2) + 7 = 3(x + -5) (-8 + 2x) + 7 = 3(x + -5) Reorder the terms: -8 + 7 + 2x = 3(x + -5) Combine like terms: -8 + 7 = -1 -1 + 2x = 3(x + -5) Reorder the terms: -1 + 2x = 3(-5 + x) -1 + 2x = (-5 * 3 + x * 3) -1 + 2x = (-15 + 3x) Solving -1 + 2x = -15 + 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. -1 + 2x + -3x = -15 + 3x + -3x Combine like terms: 2x + -3x = -1x -1 + -1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -1x = -15 + 0 -1 + -1x = -15 Add '1' to each side of the equation. -1 + 1 + -1x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -15 + 1 -1x = -15 + 1 Combine like terms: -15 + 1 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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