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Simplifying 4(3 + 3x) = -3(2 + -5x) (3 * 4 + 3x * 4) = -3(2 + -5x) (12 + 12x) = -3(2 + -5x) 12 + 12x = (2 * -3 + -5x * -3) 12 + 12x = (-6 + 15x) Solving 12 + 12x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + 12x + -15x = -6 + 15x + -15x Combine like terms: 12x + -15x = -3x 12 + -3x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -3x = -6 + 0 12 + -3x = -6 Add '-12' to each side of the equation. 12 + -12 + -3x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -6 + -12 -3x = -6 + -12 Combine like terms: -6 + -12 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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