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Simplifying (2x + 4) * 6 = (x + -18) * 3 Reorder the terms: (4 + 2x) * 6 = (x + -18) * 3 Reorder the terms for easier multiplication: 6(4 + 2x) = (x + -18) * 3 (4 * 6 + 2x * 6) = (x + -18) * 3 (24 + 12x) = (x + -18) * 3 Reorder the terms: 24 + 12x = (-18 + x) * 3 Reorder the terms for easier multiplication: 24 + 12x = 3(-18 + x) 24 + 12x = (-18 * 3 + x * 3) 24 + 12x = (-54 + 3x) Solving 24 + 12x = -54 + 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. 24 + 12x + -3x = -54 + 3x + -3x Combine like terms: 12x + -3x = 9x 24 + 9x = -54 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 9x = -54 + 0 24 + 9x = -54 Add '-24' to each side of the equation. 24 + -24 + 9x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -54 + -24 9x = -54 + -24 Combine like terms: -54 + -24 = -78 9x = -78 Divide each side by '9'. x = -8.666666667 Simplifying x = -8.666666667
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