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Simplifying 2(x + -3) + 7 = 7(x + -2) Reorder the terms: 2(-3 + x) + 7 = 7(x + -2) (-3 * 2 + x * 2) + 7 = 7(x + -2) (-6 + 2x) + 7 = 7(x + -2) Reorder the terms: -6 + 7 + 2x = 7(x + -2) Combine like terms: -6 + 7 = 1 1 + 2x = 7(x + -2) Reorder the terms: 1 + 2x = 7(-2 + x) 1 + 2x = (-2 * 7 + x * 7) 1 + 2x = (-14 + 7x) Solving 1 + 2x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 2x + -7x = -14 + 7x + -7x Combine like terms: 2x + -7x = -5x 1 + -5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -5x = -14 + 0 1 + -5x = -14 Add '-1' to each side of the equation. 1 + -1 + -5x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -14 + -1 -5x = -14 + -1 Combine like terms: -14 + -1 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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