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Simplifying -1(x + -18) + 3(x + 12) = 6x + 24 Reorder the terms: -1(-18 + x) + 3(x + 12) = 6x + 24 (-18 * -1 + x * -1) + 3(x + 12) = 6x + 24 (18 + -1x) + 3(x + 12) = 6x + 24 Reorder the terms: 18 + -1x + 3(12 + x) = 6x + 24 18 + -1x + (12 * 3 + x * 3) = 6x + 24 18 + -1x + (36 + 3x) = 6x + 24 Reorder the terms: 18 + 36 + -1x + 3x = 6x + 24 Combine like terms: 18 + 36 = 54 54 + -1x + 3x = 6x + 24 Combine like terms: -1x + 3x = 2x 54 + 2x = 6x + 24 Reorder the terms: 54 + 2x = 24 + 6x Solving 54 + 2x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 54 + 2x + -6x = 24 + 6x + -6x Combine like terms: 2x + -6x = -4x 54 + -4x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 54 + -4x = 24 + 0 54 + -4x = 24 Add '-54' to each side of the equation. 54 + -54 + -4x = 24 + -54 Combine like terms: 54 + -54 = 0 0 + -4x = 24 + -54 -4x = 24 + -54 Combine like terms: 24 + -54 = -30 -4x = -30 Divide each side by '-4'. x = 7.5 Simplifying x = 7.5
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