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Simplifying 4(3x + -1) = 5(2x + 3) + -15 Reorder the terms: 4(-1 + 3x) = 5(2x + 3) + -15 (-1 * 4 + 3x * 4) = 5(2x + 3) + -15 (-4 + 12x) = 5(2x + 3) + -15 Reorder the terms: -4 + 12x = 5(3 + 2x) + -15 -4 + 12x = (3 * 5 + 2x * 5) + -15 -4 + 12x = (15 + 10x) + -15 Reorder the terms: -4 + 12x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 -4 + 12x = 0 + 10x -4 + 12x = 10x Solving -4 + 12x = 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. -4 + 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = 0 Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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