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Simplifying 15x + (-6x + 5) + -2 + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 15x + (5 + -6x) + -2 + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Remove parenthesis around (5 + -6x) 15x + 5 + -6x + -2 + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 15x + 5 + -6x + -2 + -1(3 + -1x) = -1(7x + 23) + -1x + (3 + -2x) 15x + 5 + -6x + -2 + (3 * -1 + -1x * -1) = -1(7x + 23) + -1x + (3 + -2x) 15x + 5 + -6x + -2 + (-3 + 1x) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 5 + -2 + -3 + 15x + -6x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 5 + -2 = 3 3 + -3 + 15x + -6x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 3 + -3 = 0 0 + 15x + -6x + 1x = -1(7x + 23) + -1x + (3 + -2x) 15x + -6x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 15x + -6x = 9x 9x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 9x + 1x = 10x 10x = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 10x = -1(23 + 7x) + -1x + (3 + -2x) 10x = (23 * -1 + 7x * -1) + -1x + (3 + -2x) 10x = (-23 + -7x) + -1x + (3 + -2x) Remove parenthesis around (3 + -2x) 10x = -23 + -7x + -1x + 3 + -2x Reorder the terms: 10x = -23 + 3 + -7x + -1x + -2x Combine like terms: -23 + 3 = -20 10x = -20 + -7x + -1x + -2x Combine like terms: -7x + -1x = -8x 10x = -20 + -8x + -2x Combine like terms: -8x + -2x = -10x 10x = -20 + -10x Solving 10x = -20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10x + 10x = -20 + -10x + 10x Combine like terms: 10x + 10x = 20x 20x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 20x = -20 + 0 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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