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Simplifying 12(6x + -18 + -4x) = 24(24 + -1x + 1) Reorder the terms: 12(-18 + 6x + -4x) = 24(24 + -1x + 1) Combine like terms: 6x + -4x = 2x 12(-18 + 2x) = 24(24 + -1x + 1) (-18 * 12 + 2x * 12) = 24(24 + -1x + 1) (-216 + 24x) = 24(24 + -1x + 1) Reorder the terms: -216 + 24x = 24(24 + 1 + -1x) Combine like terms: 24 + 1 = 25 -216 + 24x = 24(25 + -1x) -216 + 24x = (25 * 24 + -1x * 24) -216 + 24x = (600 + -24x) Solving -216 + 24x = 600 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -216 + 24x + 24x = 600 + -24x + 24x Combine like terms: 24x + 24x = 48x -216 + 48x = 600 + -24x + 24x Combine like terms: -24x + 24x = 0 -216 + 48x = 600 + 0 -216 + 48x = 600 Add '216' to each side of the equation. -216 + 216 + 48x = 600 + 216 Combine like terms: -216 + 216 = 0 0 + 48x = 600 + 216 48x = 600 + 216 Combine like terms: 600 + 216 = 816 48x = 816 Divide each side by '48'. x = 17 Simplifying x = 17
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