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Simplifying -7(x + -1) = 5(x + 3) Reorder the terms: -7(-1 + x) = 5(x + 3) (-1 * -7 + x * -7) = 5(x + 3) (7 + -7x) = 5(x + 3) Reorder the terms: 7 + -7x = 5(3 + x) 7 + -7x = (3 * 5 + x * 5) 7 + -7x = (15 + 5x) Solving 7 + -7x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -7x + -5x = 15 + 5x + -5x Combine like terms: -7x + -5x = -12x 7 + -12x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -12x = 15 + 0 7 + -12x = 15 Add '-7' to each side of the equation. 7 + -7 + -12x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 15 + -7 -12x = 15 + -7 Combine like terms: 15 + -7 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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