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Simplifying -1(7x + -5) = 2(4x + -1) Reorder the terms: -1(-5 + 7x) = 2(4x + -1) (-5 * -1 + 7x * -1) = 2(4x + -1) (5 + -7x) = 2(4x + -1) Reorder the terms: 5 + -7x = 2(-1 + 4x) 5 + -7x = (-1 * 2 + 4x * 2) 5 + -7x = (-2 + 8x) Solving 5 + -7x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + -7x + -8x = -2 + 8x + -8x Combine like terms: -7x + -8x = -15x 5 + -15x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -15x = -2 + 0 5 + -15x = -2 Add '-5' to each side of the equation. 5 + -5 + -15x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = -2 + -5 -15x = -2 + -5 Combine like terms: -2 + -5 = -7 -15x = -7 Divide each side by '-15'. x = 0.4666666667 Simplifying x = 0.4666666667
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