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Simplifying 4(3x + -3) = 3(5x + 4) Reorder the terms: 4(-3 + 3x) = 3(5x + 4) (-3 * 4 + 3x * 4) = 3(5x + 4) (-12 + 12x) = 3(5x + 4) Reorder the terms: -12 + 12x = 3(4 + 5x) -12 + 12x = (4 * 3 + 5x * 3) -12 + 12x = (12 + 15x) Solving -12 + 12x = 12 + 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 = 12 + 15x + -15x Combine like terms: 12x + -15x = -3x -12 + -3x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -3x = 12 + 0 -12 + -3x = 12 Add '12' to each side of the equation. -12 + 12 + -3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 12 + 12 -3x = 12 + 12 Combine like terms: 12 + 12 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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