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Simplifying 6(x + 18) + -18 = 3x + 12 Reorder the terms: 6(18 + x) + -18 = 3x + 12 (18 * 6 + x * 6) + -18 = 3x + 12 (108 + 6x) + -18 = 3x + 12 Reorder the terms: 108 + -18 + 6x = 3x + 12 Combine like terms: 108 + -18 = 90 90 + 6x = 3x + 12 Reorder the terms: 90 + 6x = 12 + 3x Solving 90 + 6x = 12 + 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. 90 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x 90 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 90 + 3x = 12 + 0 90 + 3x = 12 Add '-90' to each side of the equation. 90 + -90 + 3x = 12 + -90 Combine like terms: 90 + -90 = 0 0 + 3x = 12 + -90 3x = 12 + -90 Combine like terms: 12 + -90 = -78 3x = -78 Divide each side by '3'. x = -26 Simplifying x = -26
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