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Simplifying 4(3x + 5) = 12 + -6x Reorder the terms: 4(5 + 3x) = 12 + -6x (5 * 4 + 3x * 4) = 12 + -6x (20 + 12x) = 12 + -6x Solving 20 + 12x = 12 + -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. 20 + 12x + 6x = 12 + -6x + 6x Combine like terms: 12x + 6x = 18x 20 + 18x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 18x = 12 + 0 20 + 18x = 12 Add '-20' to each side of the equation. 20 + -20 + 18x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 18x = 12 + -20 18x = 12 + -20 Combine like terms: 12 + -20 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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