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Simplifying 2(x + 3) = 5(x + -1) + -7 Reorder the terms: 2(3 + x) = 5(x + -1) + -7 (3 * 2 + x * 2) = 5(x + -1) + -7 (6 + 2x) = 5(x + -1) + -7 Reorder the terms: 6 + 2x = 5(-1 + x) + -7 6 + 2x = (-1 * 5 + x * 5) + -7 6 + 2x = (-5 + 5x) + -7 Reorder the terms: 6 + 2x = -5 + -7 + 5x Combine like terms: -5 + -7 = -12 6 + 2x = -12 + 5x Solving 6 + 2x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 2x + -5x = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = -12 + 0 6 + -3x = -12 Add '-6' to each side of the equation. 6 + -6 + -3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -12 + -6 -3x = -12 + -6 Combine like terms: -12 + -6 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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