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Simplifying -1(x + -7) = 5(3x + -1) + -4 Reorder the terms: -1(-7 + x) = 5(3x + -1) + -4 (-7 * -1 + x * -1) = 5(3x + -1) + -4 (7 + -1x) = 5(3x + -1) + -4 Reorder the terms: 7 + -1x = 5(-1 + 3x) + -4 7 + -1x = (-1 * 5 + 3x * 5) + -4 7 + -1x = (-5 + 15x) + -4 Reorder the terms: 7 + -1x = -5 + -4 + 15x Combine like terms: -5 + -4 = -9 7 + -1x = -9 + 15x Solving 7 + -1x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7 + -1x + -15x = -9 + 15x + -15x Combine like terms: -1x + -15x = -16x 7 + -16x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -16x = -9 + 0 7 + -16x = -9 Add '-7' to each side of the equation. 7 + -7 + -16x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -16x = -9 + -7 -16x = -9 + -7 Combine like terms: -9 + -7 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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