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Simplifying 4(x + 6) + -2x = x + 15 Reorder the terms: 4(6 + x) + -2x = x + 15 (6 * 4 + x * 4) + -2x = x + 15 (24 + 4x) + -2x = x + 15 Combine like terms: 4x + -2x = 2x 24 + 2x = x + 15 Reorder the terms: 24 + 2x = 15 + x Solving 24 + 2x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 2x + -1x = 15 + x + -1x Combine like terms: 2x + -1x = 1x 24 + 1x = 15 + x + -1x Combine like terms: x + -1x = 0 24 + 1x = 15 + 0 24 + 1x = 15 Add '-24' to each side of the equation. 24 + -24 + 1x = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 15 + -24 1x = 15 + -24 Combine like terms: 15 + -24 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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