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Simplifying 15x + (5 + -6x)(-2) + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms for easier multiplication: 15x + -2(5 + -6x) + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) 15x + (5 * -2 + -6x * -2) + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) 15x + (-10 + 12x) + -1(-1x + 3) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: 15x + -10 + 12x + -1(3 + -1x) = -1(7x + 23) + -1x + (3 + -2x) 15x + -10 + 12x + (3 * -1 + -1x * -1) = -1(7x + 23) + -1x + (3 + -2x) 15x + -10 + 12x + (-3 + 1x) = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: -10 + -3 + 15x + 12x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: -10 + -3 = -13 -13 + 15x + 12x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 15x + 12x = 27x -13 + 27x + 1x = -1(7x + 23) + -1x + (3 + -2x) Combine like terms: 27x + 1x = 28x -13 + 28x = -1(7x + 23) + -1x + (3 + -2x) Reorder the terms: -13 + 28x = -1(23 + 7x) + -1x + (3 + -2x) -13 + 28x = (23 * -1 + 7x * -1) + -1x + (3 + -2x) -13 + 28x = (-23 + -7x) + -1x + (3 + -2x) Remove parenthesis around (3 + -2x) -13 + 28x = -23 + -7x + -1x + 3 + -2x Reorder the terms: -13 + 28x = -23 + 3 + -7x + -1x + -2x Combine like terms: -23 + 3 = -20 -13 + 28x = -20 + -7x + -1x + -2x Combine like terms: -7x + -1x = -8x -13 + 28x = -20 + -8x + -2x Combine like terms: -8x + -2x = -10x -13 + 28x = -20 + -10x Solving -13 + 28x = -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. -13 + 28x + 10x = -20 + -10x + 10x Combine like terms: 28x + 10x = 38x -13 + 38x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 38x = -20 + 0 -13 + 38x = -20 Add '13' to each side of the equation. -13 + 13 + 38x = -20 + 13 Combine like terms: -13 + 13 = 0 0 + 38x = -20 + 13 38x = -20 + 13 Combine like terms: -20 + 13 = -7 38x = -7 Divide each side by '38'. x = -0.1842105263 Simplifying x = -0.1842105263
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