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Simplifying 6 + (3x + 18) * 4 = 6(3x + -12) Reorder the terms: 6 + (18 + 3x) * 4 = 6(3x + -12) Reorder the terms for easier multiplication: 6 + 4(18 + 3x) = 6(3x + -12) 6 + (18 * 4 + 3x * 4) = 6(3x + -12) 6 + (72 + 12x) = 6(3x + -12) Combine like terms: 6 + 72 = 78 78 + 12x = 6(3x + -12) Reorder the terms: 78 + 12x = 6(-12 + 3x) 78 + 12x = (-12 * 6 + 3x * 6) 78 + 12x = (-72 + 18x) Solving 78 + 12x = -72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 78 + 12x + -18x = -72 + 18x + -18x Combine like terms: 12x + -18x = -6x 78 + -6x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 78 + -6x = -72 + 0 78 + -6x = -72 Add '-78' to each side of the equation. 78 + -78 + -6x = -72 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = -72 + -78 -6x = -72 + -78 Combine like terms: -72 + -78 = -150 -6x = -150 Divide each side by '-6'. x = 25 Simplifying x = 25
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