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Simplifying -2x + -1(2x + -3) = 5x + 3(x + 5) Reorder the terms: -2x + -1(-3 + 2x) = 5x + 3(x + 5) -2x + (-3 * -1 + 2x * -1) = 5x + 3(x + 5) -2x + (3 + -2x) = 5x + 3(x + 5) Reorder the terms: 3 + -2x + -2x = 5x + 3(x + 5) Combine like terms: -2x + -2x = -4x 3 + -4x = 5x + 3(x + 5) Reorder the terms: 3 + -4x = 5x + 3(5 + x) 3 + -4x = 5x + (5 * 3 + x * 3) 3 + -4x = 5x + (15 + 3x) Reorder the terms: 3 + -4x = 15 + 5x + 3x Combine like terms: 5x + 3x = 8x 3 + -4x = 15 + 8x Solving 3 + -4x = 15 + 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. 3 + -4x + -8x = 15 + 8x + -8x Combine like terms: -4x + -8x = -12x 3 + -12x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -12x = 15 + 0 3 + -12x = 15 Add '-3' to each side of the equation. 3 + -3 + -12x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = 15 + -3 -12x = 15 + -3 Combine like terms: 15 + -3 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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