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Simplifying 15x + (-6 + 5) + -2 + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: -6 + 5 = -1 15x + (-1) + -2 + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) 15x + -1 + -2 + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 15x + -1 + -2 + -1(3 + -1x) = -1(7x + 23) + -1x + (3 + -2x) 15x + -1 + -2 + (3 * -1 + -1x * -1) = -1(7x + 23) + -1x + (3 + -2x) 15x + -1 + -2 + (-3 + 1x) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: -1 + -2 + -3 + 15x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: -1 + -2 = -3 -3 + -3 + 15x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: -3 + -3 = -6 -6 + 15x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 15x + 1x = 16x -6 + 16x = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: -6 + 16x = -1(23 + 7x) + -1x + (3 + -2x) -6 + 16x = (23 * -1 + 7x * -1) + -1x + (3 + -2x) -6 + 16x = (-23 + -7x) + -1x + (3 + -2x) Remove parenthesis around (3 + -2x) -6 + 16x = -23 + -7x + -1x + 3 + -2x Reorder the terms: -6 + 16x = -23 + 3 + -7x + -1x + -2x Combine like terms: -23 + 3 = -20 -6 + 16x = -20 + -7x + -1x + -2x Combine like terms: -7x + -1x = -8x -6 + 16x = -20 + -8x + -2x Combine like terms: -8x + -2x = -10x -6 + 16x = -20 + -10x Solving -6 + 16x = -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. -6 + 16x + 10x = -20 + -10x + 10x Combine like terms: 16x + 10x = 26x -6 + 26x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 26x = -20 + 0 -6 + 26x = -20 Add '6' to each side of the equation. -6 + 6 + 26x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 26x = -20 + 6 26x = -20 + 6 Combine like terms: -20 + 6 = -14 26x = -14 Divide each side by '26'. x = -0.5384615385 Simplifying x = -0.5384615385
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