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Simplifying -2(x + 2) = 3(x + -7) Reorder the terms: -2(2 + x) = 3(x + -7) (2 * -2 + x * -2) = 3(x + -7) (-4 + -2x) = 3(x + -7) Reorder the terms: -4 + -2x = 3(-7 + x) -4 + -2x = (-7 * 3 + x * 3) -4 + -2x = (-21 + 3x) Solving -4 + -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. -4 + -2x + -3x = -21 + 3x + -3x Combine like terms: -2x + -3x = -5x -4 + -5x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -5x = -21 + 0 -4 + -5x = -21 Add '4' to each side of the equation. -4 + 4 + -5x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -21 + 4 -5x = -21 + 4 Combine like terms: -21 + 4 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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