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Simplifying 3(4x + -1) = 4 + 5(2x + -3) Reorder the terms: 3(-1 + 4x) = 4 + 5(2x + -3) (-1 * 3 + 4x * 3) = 4 + 5(2x + -3) (-3 + 12x) = 4 + 5(2x + -3) Reorder the terms: -3 + 12x = 4 + 5(-3 + 2x) -3 + 12x = 4 + (-3 * 5 + 2x * 5) -3 + 12x = 4 + (-15 + 10x) Combine like terms: 4 + -15 = -11 -3 + 12x = -11 + 10x Solving -3 + 12x = -11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 12x + -10x = -11 + 10x + -10x Combine like terms: 12x + -10x = 2x -3 + 2x = -11 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 2x = -11 + 0 -3 + 2x = -11 Add '3' to each side of the equation. -3 + 3 + 2x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -11 + 3 2x = -11 + 3 Combine like terms: -11 + 3 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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