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Simplifying -2x + -32(1 + 9x) = -32(1 + -25x) -2x + (1 * -32 + 9x * -32) = -32(1 + -25x) -2x + (-32 + -288x) = -32(1 + -25x) Reorder the terms: -32 + -2x + -288x = -32(1 + -25x) Combine like terms: -2x + -288x = -290x -32 + -290x = -32(1 + -25x) -32 + -290x = (1 * -32 + -25x * -32) -32 + -290x = (-32 + 800x) Add '32' to each side of the equation. -32 + 32 + -290x = -32 + 32 + 800x Combine like terms: -32 + 32 = 0 0 + -290x = -32 + 32 + 800x -290x = -32 + 32 + 800x Combine like terms: -32 + 32 = 0 -290x = 0 + 800x -290x = 800x Solving -290x = 800x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-800x' to each side of the equation. -290x + -800x = 800x + -800x Combine like terms: -290x + -800x = -1090x -1090x = 800x + -800x Combine like terms: 800x + -800x = 0 -1090x = 0 Divide each side by '-1090'. x = 0 Simplifying x = 0
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