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Simplifying (5x + -1(3 + -2x)) * 4 + -1(3x + 1) * 5 = (x + -1) * 12 (5x + (3 * -1 + -2x * -1)) * 4 + -1(3x + 1) * 5 = (x + -1) * 12 (5x + (-3 + 2x)) * 4 + -1(3x + 1) * 5 = (x + -1) * 12 Reorder the terms: (-3 + 5x + 2x) * 4 + -1(3x + 1) * 5 = (x + -1) * 12 Combine like terms: 5x + 2x = 7x (-3 + 7x) * 4 + -1(3x + 1) * 5 = (x + -1) * 12 Reorder the terms for easier multiplication: 4(-3 + 7x) + -1(3x + 1) * 5 = (x + -1) * 12 (-3 * 4 + 7x * 4) + -1(3x + 1) * 5 = (x + -1) * 12 (-12 + 28x) + -1(3x + 1) * 5 = (x + -1) * 12 Reorder the terms: -12 + 28x + -1(1 + 3x) * 5 = (x + -1) * 12 Reorder the terms for easier multiplication: -12 + 28x + -1 * 5(1 + 3x) = (x + -1) * 12 Multiply -1 * 5 -12 + 28x + -5(1 + 3x) = (x + -1) * 12 -12 + 28x + (1 * -5 + 3x * -5) = (x + -1) * 12 -12 + 28x + (-5 + -15x) = (x + -1) * 12 Reorder the terms: -12 + -5 + 28x + -15x = (x + -1) * 12 Combine like terms: -12 + -5 = -17 -17 + 28x + -15x = (x + -1) * 12 Combine like terms: 28x + -15x = 13x -17 + 13x = (x + -1) * 12 Reorder the terms: -17 + 13x = (-1 + x) * 12 Reorder the terms for easier multiplication: -17 + 13x = 12(-1 + x) -17 + 13x = (-1 * 12 + x * 12) -17 + 13x = (-12 + 12x) Solving -17 + 13x = -12 + 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. -17 + 13x + -12x = -12 + 12x + -12x Combine like terms: 13x + -12x = 1x -17 + 1x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + 1x = -12 + 0 -17 + 1x = -12 Add '17' to each side of the equation. -17 + 17 + 1x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -12 + 17 1x = -12 + 17 Combine like terms: -12 + 17 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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