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Simplifying 3(x + 6) = -5(x + 6) + 15 Reorder the terms: 3(6 + x) = -5(x + 6) + 15 (6 * 3 + x * 3) = -5(x + 6) + 15 (18 + 3x) = -5(x + 6) + 15 Reorder the terms: 18 + 3x = -5(6 + x) + 15 18 + 3x = (6 * -5 + x * -5) + 15 18 + 3x = (-30 + -5x) + 15 Reorder the terms: 18 + 3x = -30 + 15 + -5x Combine like terms: -30 + 15 = -15 18 + 3x = -15 + -5x Solving 18 + 3x = -15 + -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. 18 + 3x + 5x = -15 + -5x + 5x Combine like terms: 3x + 5x = 8x 18 + 8x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 8x = -15 + 0 18 + 8x = -15 Add '-18' to each side of the equation. 18 + -18 + 8x = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = -15 + -18 8x = -15 + -18 Combine like terms: -15 + -18 = -33 8x = -33 Divide each side by '8'. x = -4.125 Simplifying x = -4.125
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