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Simplifying -2x + 7 = 3(x + -6) Reorder the terms: 7 + -2x = 3(x + -6) Reorder the terms: 7 + -2x = 3(-6 + x) 7 + -2x = (-6 * 3 + x * 3) 7 + -2x = (-18 + 3x) Solving 7 + -2x = -18 + 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. 7 + -2x + -3x = -18 + 3x + -3x Combine like terms: -2x + -3x = -5x 7 + -5x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -5x = -18 + 0 7 + -5x = -18 Add '-7' to each side of the equation. 7 + -7 + -5x = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -18 + -7 -5x = -18 + -7 Combine like terms: -18 + -7 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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