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Simplifying -5x + -8(1 + -4x) + 3(-2x + -3) = -5(x + -3) + -6x -5x + (1 * -8 + -4x * -8) + 3(-2x + -3) = -5(x + -3) + -6x -5x + (-8 + 32x) + 3(-2x + -3) = -5(x + -3) + -6x Reorder the terms: -5x + -8 + 32x + 3(-3 + -2x) = -5(x + -3) + -6x -5x + -8 + 32x + (-3 * 3 + -2x * 3) = -5(x + -3) + -6x -5x + -8 + 32x + (-9 + -6x) = -5(x + -3) + -6x Reorder the terms: -8 + -9 + -5x + 32x + -6x = -5(x + -3) + -6x Combine like terms: -8 + -9 = -17 -17 + -5x + 32x + -6x = -5(x + -3) + -6x Combine like terms: -5x + 32x = 27x -17 + 27x + -6x = -5(x + -3) + -6x Combine like terms: 27x + -6x = 21x -17 + 21x = -5(x + -3) + -6x Reorder the terms: -17 + 21x = -5(-3 + x) + -6x -17 + 21x = (-3 * -5 + x * -5) + -6x -17 + 21x = (15 + -5x) + -6x Combine like terms: -5x + -6x = -11x -17 + 21x = 15 + -11x Solving -17 + 21x = 15 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -17 + 21x + 11x = 15 + -11x + 11x Combine like terms: 21x + 11x = 32x -17 + 32x = 15 + -11x + 11x Combine like terms: -11x + 11x = 0 -17 + 32x = 15 + 0 -17 + 32x = 15 Add '17' to each side of the equation. -17 + 17 + 32x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 32x = 15 + 17 32x = 15 + 17 Combine like terms: 15 + 17 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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