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Simplifying -1(2x + -3) + 4 = -5x + 2(3x + 5) Reorder the terms: -1(-3 + 2x) + 4 = -5x + 2(3x + 5) (-3 * -1 + 2x * -1) + 4 = -5x + 2(3x + 5) (3 + -2x) + 4 = -5x + 2(3x + 5) Reorder the terms: 3 + 4 + -2x = -5x + 2(3x + 5) Combine like terms: 3 + 4 = 7 7 + -2x = -5x + 2(3x + 5) Reorder the terms: 7 + -2x = -5x + 2(5 + 3x) 7 + -2x = -5x + (5 * 2 + 3x * 2) 7 + -2x = -5x + (10 + 6x) Reorder the terms: 7 + -2x = 10 + -5x + 6x Combine like terms: -5x + 6x = 1x 7 + -2x = 10 + 1x Solving 7 + -2x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -2x + -1x = 10 + 1x + -1x Combine like terms: -2x + -1x = -3x 7 + -3x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -3x = 10 + 0 7 + -3x = 10 Add '-7' to each side of the equation. 7 + -7 + -3x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 10 + -7 -3x = 10 + -7 Combine like terms: 10 + -7 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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