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Simplifying 2(x + 1) = 3(x + -5) + 7 Reorder the terms: 2(1 + x) = 3(x + -5) + 7 (1 * 2 + x * 2) = 3(x + -5) + 7 (2 + 2x) = 3(x + -5) + 7 Reorder the terms: 2 + 2x = 3(-5 + x) + 7 2 + 2x = (-5 * 3 + x * 3) + 7 2 + 2x = (-15 + 3x) + 7 Reorder the terms: 2 + 2x = -15 + 7 + 3x Combine like terms: -15 + 7 = -8 2 + 2x = -8 + 3x Solving 2 + 2x = -8 + 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. 2 + 2x + -3x = -8 + 3x + -3x Combine like terms: 2x + -3x = -1x 2 + -1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -1x = -8 + 0 2 + -1x = -8 Add '-2' to each side of the equation. 2 + -2 + -1x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -8 + -2 -1x = -8 + -2 Combine like terms: -8 + -2 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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