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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 = 21x 21x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 21x + 1x = 22x 22x = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 22x = -1(23 + 7x) + -1x + (3 + -2x) 22x = (23 * -1 + 7x * -1) + -1x + (3 + -2x) 22x = (-23 + -7x) + -1x + (3 + -2x) Remove parenthesis around (3 + -2x) 22x = -23 + -7x + -1x + 3 + -2x Reorder the terms: 22x = -23 + 3 + -7x + -1x + -2x Combine like terms: -23 + 3 = -20 22x = -20 + -7x + -1x + -2x Combine like terms: -7x + -1x = -8x 22x = -20 + -8x + -2x Combine like terms: -8x + -2x = -10x 22x = -20 + -10x Solving 22x = -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. 22x + 10x = -20 + -10x + 10x Combine like terms: 22x + 10x = 32x 32x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 32x = -20 + 0 32x = -20 Divide each side by '32'. x = -0.625 Simplifying x = -0.625
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