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Simplifying 15x + (-6x + 5) + -2(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 15x + (5 + -6x) + -2(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Remove parenthesis around (5 + -6x) 15x + 5 + -6x + -2(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 15x + 5 + -6x + -2(3 + -1x) = -1(7x + 23) + -1x + (3 + -2x) 15x + 5 + -6x + (3 * -2 + -1x * -2) = -1(7x + 23) + -1x + (3 + -2x) 15x + 5 + -6x + (-6 + 2x) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 5 + -6 + 15x + -6x + 2x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 5 + -6 = -1 -1 + 15x + -6x + 2x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 15x + -6x = 9x -1 + 9x + 2x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 9x + 2x = 11x -1 + 11x = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: -1 + 11x = -1(23 + 7x) + -1x + (3 + -2x) -1 + 11x = (23 * -1 + 7x * -1) + -1x + (3 + -2x) -1 + 11x = (-23 + -7x) + -1x + (3 + -2x) Remove parenthesis around (3 + -2x) -1 + 11x = -23 + -7x + -1x + 3 + -2x Reorder the terms: -1 + 11x = -23 + 3 + -7x + -1x + -2x Combine like terms: -23 + 3 = -20 -1 + 11x = -20 + -7x + -1x + -2x Combine like terms: -7x + -1x = -8x -1 + 11x = -20 + -8x + -2x Combine like terms: -8x + -2x = -10x -1 + 11x = -20 + -10x Solving -1 + 11x = -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. -1 + 11x + 10x = -20 + -10x + 10x Combine like terms: 11x + 10x = 21x -1 + 21x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 -1 + 21x = -20 + 0 -1 + 21x = -20 Add '1' to each side of the equation. -1 + 1 + 21x = -20 + 1 Combine like terms: -1 + 1 = 0 0 + 21x = -20 + 1 21x = -20 + 1 Combine like terms: -20 + 1 = -19 21x = -19 Divide each side by '21'. x = -0.9047619048 Simplifying x = -0.9047619048
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