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Simplifying 5(x + -1) + -1(6x + -7) = 2(3x + -1) + -17 Reorder the terms: 5(-1 + x) + -1(6x + -7) = 2(3x + -1) + -17 (-1 * 5 + x * 5) + -1(6x + -7) = 2(3x + -1) + -17 (-5 + 5x) + -1(6x + -7) = 2(3x + -1) + -17 Reorder the terms: -5 + 5x + -1(-7 + 6x) = 2(3x + -1) + -17 -5 + 5x + (-7 * -1 + 6x * -1) = 2(3x + -1) + -17 -5 + 5x + (7 + -6x) = 2(3x + -1) + -17 Reorder the terms: -5 + 7 + 5x + -6x = 2(3x + -1) + -17 Combine like terms: -5 + 7 = 2 2 + 5x + -6x = 2(3x + -1) + -17 Combine like terms: 5x + -6x = -1x 2 + -1x = 2(3x + -1) + -17 Reorder the terms: 2 + -1x = 2(-1 + 3x) + -17 2 + -1x = (-1 * 2 + 3x * 2) + -17 2 + -1x = (-2 + 6x) + -17 Reorder the terms: 2 + -1x = -2 + -17 + 6x Combine like terms: -2 + -17 = -19 2 + -1x = -19 + 6x Solving 2 + -1x = -19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -1x + -6x = -19 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = -19 + 0 2 + -7x = -19 Add '-2' to each side of the equation. 2 + -2 + -7x = -19 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -19 + -2 -7x = -19 + -2 Combine like terms: -19 + -2 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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