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Simplifying 3(x + -1) + -1(4x + -7) = 4(5x + -1) + -13 Reorder the terms: 3(-1 + x) + -1(4x + -7) = 4(5x + -1) + -13 (-1 * 3 + x * 3) + -1(4x + -7) = 4(5x + -1) + -13 (-3 + 3x) + -1(4x + -7) = 4(5x + -1) + -13 Reorder the terms: -3 + 3x + -1(-7 + 4x) = 4(5x + -1) + -13 -3 + 3x + (-7 * -1 + 4x * -1) = 4(5x + -1) + -13 -3 + 3x + (7 + -4x) = 4(5x + -1) + -13 Reorder the terms: -3 + 7 + 3x + -4x = 4(5x + -1) + -13 Combine like terms: -3 + 7 = 4 4 + 3x + -4x = 4(5x + -1) + -13 Combine like terms: 3x + -4x = -1x 4 + -1x = 4(5x + -1) + -13 Reorder the terms: 4 + -1x = 4(-1 + 5x) + -13 4 + -1x = (-1 * 4 + 5x * 4) + -13 4 + -1x = (-4 + 20x) + -13 Reorder the terms: 4 + -1x = -4 + -13 + 20x Combine like terms: -4 + -13 = -17 4 + -1x = -17 + 20x Solving 4 + -1x = -17 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4 + -1x + -20x = -17 + 20x + -20x Combine like terms: -1x + -20x = -21x 4 + -21x = -17 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -21x = -17 + 0 4 + -21x = -17 Add '-4' to each side of the equation. 4 + -4 + -21x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = -17 + -4 -21x = -17 + -4 Combine like terms: -17 + -4 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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