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Simplifying 4(3x + 2) = 3(5x + -1) Reorder the terms: 4(2 + 3x) = 3(5x + -1) (2 * 4 + 3x * 4) = 3(5x + -1) (8 + 12x) = 3(5x + -1) Reorder the terms: 8 + 12x = 3(-1 + 5x) 8 + 12x = (-1 * 3 + 5x * 3) 8 + 12x = (-3 + 15x) Solving 8 + 12x = -3 + 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. 8 + 12x + -15x = -3 + 15x + -15x Combine like terms: 12x + -15x = -3x 8 + -3x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -3x = -3 + 0 8 + -3x = -3 Add '-8' to each side of the equation. 8 + -8 + -3x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -3 + -8 -3x = -3 + -8 Combine like terms: -3 + -8 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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