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Simplifying 40(x + -1) = -8(5x + -1x) + 32x Reorder the terms: 40(-1 + x) = -8(5x + -1x) + 32x (-1 * 40 + x * 40) = -8(5x + -1x) + 32x (-40 + 40x) = -8(5x + -1x) + 32x Combine like terms: 5x + -1x = 4x -40 + 40x = -8(4x) + 32x Remove parenthesis around (4x) -40 + 40x = -8 * 4x + 32x Multiply -8 * 4 -40 + 40x = -32x + 32x Combine like terms: -32x + 32x = 0 -40 + 40x = 0 Solving -40 + 40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 40x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 40x = 0 + 40 40x = 0 + 40 Combine like terms: 0 + 40 = 40 40x = 40 Divide each side by '40'. x = 1 Simplifying x = 1
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