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Simplifying 5(x + -1) + -1(6x + -7) = 4(5x + -1) + -15 Reorder the terms: 5(-1 + x) + -1(6x + -7) = 4(5x + -1) + -15 (-1 * 5 + x * 5) + -1(6x + -7) = 4(5x + -1) + -15 (-5 + 5x) + -1(6x + -7) = 4(5x + -1) + -15 Reorder the terms: -5 + 5x + -1(-7 + 6x) = 4(5x + -1) + -15 -5 + 5x + (-7 * -1 + 6x * -1) = 4(5x + -1) + -15 -5 + 5x + (7 + -6x) = 4(5x + -1) + -15 Reorder the terms: -5 + 7 + 5x + -6x = 4(5x + -1) + -15 Combine like terms: -5 + 7 = 2 2 + 5x + -6x = 4(5x + -1) + -15 Combine like terms: 5x + -6x = -1x 2 + -1x = 4(5x + -1) + -15 Reorder the terms: 2 + -1x = 4(-1 + 5x) + -15 2 + -1x = (-1 * 4 + 5x * 4) + -15 2 + -1x = (-4 + 20x) + -15 Reorder the terms: 2 + -1x = -4 + -15 + 20x Combine like terms: -4 + -15 = -19 2 + -1x = -19 + 20x Solving 2 + -1x = -19 + 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. 2 + -1x + -20x = -19 + 20x + -20x Combine like terms: -1x + -20x = -21x 2 + -21x = -19 + 20x + -20x Combine like terms: 20x + -20x = 0 2 + -21x = -19 + 0 2 + -21x = -19 Add '-2' to each side of the equation. 2 + -2 + -21x = -19 + -2 Combine like terms: 2 + -2 = 0 0 + -21x = -19 + -2 -21x = -19 + -2 Combine like terms: -19 + -2 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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