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Simplifying 7(x + 2) = 3(2x + -3) + 15 Reorder the terms: 7(2 + x) = 3(2x + -3) + 15 (2 * 7 + x * 7) = 3(2x + -3) + 15 (14 + 7x) = 3(2x + -3) + 15 Reorder the terms: 14 + 7x = 3(-3 + 2x) + 15 14 + 7x = (-3 * 3 + 2x * 3) + 15 14 + 7x = (-9 + 6x) + 15 Reorder the terms: 14 + 7x = -9 + 15 + 6x Combine like terms: -9 + 15 = 6 14 + 7x = 6 + 6x Solving 14 + 7x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x 14 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 1x = 6 + 0 14 + 1x = 6 Add '-14' to each side of the equation. 14 + -14 + 1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 6 + -14 1x = 6 + -14 Combine like terms: 6 + -14 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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