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Simplifying 5 + -1(2x + -3) = 7 + -1(3x + 5) Reorder the terms: 5 + -1(-3 + 2x) = 7 + -1(3x + 5) 5 + (-3 * -1 + 2x * -1) = 7 + -1(3x + 5) 5 + (3 + -2x) = 7 + -1(3x + 5) Combine like terms: 5 + 3 = 8 8 + -2x = 7 + -1(3x + 5) Reorder the terms: 8 + -2x = 7 + -1(5 + 3x) 8 + -2x = 7 + (5 * -1 + 3x * -1) 8 + -2x = 7 + (-5 + -3x) Combine like terms: 7 + -5 = 2 8 + -2x = 2 + -3x Solving 8 + -2x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = 2 + 0 8 + 1x = 2 Add '-8' to each side of the equation. 8 + -8 + 1x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 2 + -8 1x = 2 + -8 Combine like terms: 2 + -8 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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