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Simplifying 5(2x + -1) + -15 = 3(4x + 2) + 4 Reorder the terms: 5(-1 + 2x) + -15 = 3(4x + 2) + 4 (-1 * 5 + 2x * 5) + -15 = 3(4x + 2) + 4 (-5 + 10x) + -15 = 3(4x + 2) + 4 Reorder the terms: -5 + -15 + 10x = 3(4x + 2) + 4 Combine like terms: -5 + -15 = -20 -20 + 10x = 3(4x + 2) + 4 Reorder the terms: -20 + 10x = 3(2 + 4x) + 4 -20 + 10x = (2 * 3 + 4x * 3) + 4 -20 + 10x = (6 + 12x) + 4 Reorder the terms: -20 + 10x = 6 + 4 + 12x Combine like terms: 6 + 4 = 10 -20 + 10x = 10 + 12x Solving -20 + 10x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 10x + -12x = 10 + 12x + -12x Combine like terms: 10x + -12x = -2x -20 + -2x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -2x = 10 + 0 -20 + -2x = 10 Add '20' to each side of the equation. -20 + 20 + -2x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 10 + 20 -2x = 10 + 20 Combine like terms: 10 + 20 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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