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Simplifying 5(x + 6) + -3x = x + 18 Reorder the terms: 5(6 + x) + -3x = x + 18 (6 * 5 + x * 5) + -3x = x + 18 (30 + 5x) + -3x = x + 18 Combine like terms: 5x + -3x = 2x 30 + 2x = x + 18 Reorder the terms: 30 + 2x = 18 + x Solving 30 + 2x = 18 + 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. 30 + 2x + -1x = 18 + x + -1x Combine like terms: 2x + -1x = 1x 30 + 1x = 18 + x + -1x Combine like terms: x + -1x = 0 30 + 1x = 18 + 0 30 + 1x = 18 Add '-30' to each side of the equation. 30 + -30 + 1x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 18 + -30 1x = 18 + -30 Combine like terms: 18 + -30 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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