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Simplifying 2(x + 3) = 7(x + -2) + -15 Reorder the terms: 2(3 + x) = 7(x + -2) + -15 (3 * 2 + x * 2) = 7(x + -2) + -15 (6 + 2x) = 7(x + -2) + -15 Reorder the terms: 6 + 2x = 7(-2 + x) + -15 6 + 2x = (-2 * 7 + x * 7) + -15 6 + 2x = (-14 + 7x) + -15 Reorder the terms: 6 + 2x = -14 + -15 + 7x Combine like terms: -14 + -15 = -29 6 + 2x = -29 + 7x Solving 6 + 2x = -29 + 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. 6 + 2x + -7x = -29 + 7x + -7x Combine like terms: 2x + -7x = -5x 6 + -5x = -29 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -5x = -29 + 0 6 + -5x = -29 Add '-6' to each side of the equation. 6 + -6 + -5x = -29 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -29 + -6 -5x = -29 + -6 Combine like terms: -29 + -6 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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