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Simplifying 15 + 2(x + -1) = 3(2x + 1) + -18 Reorder the terms: 15 + 2(-1 + x) = 3(2x + 1) + -18 15 + (-1 * 2 + x * 2) = 3(2x + 1) + -18 15 + (-2 + 2x) = 3(2x + 1) + -18 Combine like terms: 15 + -2 = 13 13 + 2x = 3(2x + 1) + -18 Reorder the terms: 13 + 2x = 3(1 + 2x) + -18 13 + 2x = (1 * 3 + 2x * 3) + -18 13 + 2x = (3 + 6x) + -18 Reorder the terms: 13 + 2x = 3 + -18 + 6x Combine like terms: 3 + -18 = -15 13 + 2x = -15 + 6x Solving 13 + 2x = -15 + 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. 13 + 2x + -6x = -15 + 6x + -6x Combine like terms: 2x + -6x = -4x 13 + -4x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -4x = -15 + 0 13 + -4x = -15 Add '-13' to each side of the equation. 13 + -13 + -4x = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -15 + -13 -4x = -15 + -13 Combine like terms: -15 + -13 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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