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Simplifying 2(x + -2) + -5 = 3(x + -7) Reorder the terms: 2(-2 + x) + -5 = 3(x + -7) (-2 * 2 + x * 2) + -5 = 3(x + -7) (-4 + 2x) + -5 = 3(x + -7) Reorder the terms: -4 + -5 + 2x = 3(x + -7) Combine like terms: -4 + -5 = -9 -9 + 2x = 3(x + -7) Reorder the terms: -9 + 2x = 3(-7 + x) -9 + 2x = (-7 * 3 + x * 3) -9 + 2x = (-21 + 3x) Solving -9 + 2x = -21 + 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. -9 + 2x + -3x = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x -9 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -1x = -21 + 0 -9 + -1x = -21 Add '9' to each side of the equation. -9 + 9 + -1x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -21 + 9 -1x = -21 + 9 Combine like terms: -21 + 9 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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