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Simplifying -9x + -32(x + 3) = -8(5x + 2) Reorder the terms: -9x + -32(3 + x) = -8(5x + 2) -9x + (3 * -32 + x * -32) = -8(5x + 2) -9x + (-96 + -32x) = -8(5x + 2) Reorder the terms: -96 + -9x + -32x = -8(5x + 2) Combine like terms: -9x + -32x = -41x -96 + -41x = -8(5x + 2) Reorder the terms: -96 + -41x = -8(2 + 5x) -96 + -41x = (2 * -8 + 5x * -8) -96 + -41x = (-16 + -40x) Solving -96 + -41x = -16 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -96 + -41x + 40x = -16 + -40x + 40x Combine like terms: -41x + 40x = -1x -96 + -1x = -16 + -40x + 40x Combine like terms: -40x + 40x = 0 -96 + -1x = -16 + 0 -96 + -1x = -16 Add '96' to each side of the equation. -96 + 96 + -1x = -16 + 96 Combine like terms: -96 + 96 = 0 0 + -1x = -16 + 96 -1x = -16 + 96 Combine like terms: -16 + 96 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80
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