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Simplifying 3(x + 6) = -3(x + -2) + 18 Reorder the terms: 3(6 + x) = -3(x + -2) + 18 (6 * 3 + x * 3) = -3(x + -2) + 18 (18 + 3x) = -3(x + -2) + 18 Reorder the terms: 18 + 3x = -3(-2 + x) + 18 18 + 3x = (-2 * -3 + x * -3) + 18 18 + 3x = (6 + -3x) + 18 Reorder the terms: 18 + 3x = 6 + 18 + -3x Combine like terms: 6 + 18 = 24 18 + 3x = 24 + -3x Solving 18 + 3x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 18 + 3x + 3x = 24 + -3x + 3x Combine like terms: 3x + 3x = 6x 18 + 6x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 6x = 24 + 0 18 + 6x = 24 Add '-18' to each side of the equation. 18 + -18 + 6x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 24 + -18 6x = 24 + -18 Combine like terms: 24 + -18 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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