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Simplifying -7x + 8(1 + -3x) = 40 + x -7x + (1 * 8 + -3x * 8) = 40 + x -7x + (8 + -24x) = 40 + x Reorder the terms: 8 + -7x + -24x = 40 + x Combine like terms: -7x + -24x = -31x 8 + -31x = 40 + x Solving 8 + -31x = 40 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -31x + -1x = 40 + x + -1x Combine like terms: -31x + -1x = -32x 8 + -32x = 40 + x + -1x Combine like terms: x + -1x = 0 8 + -32x = 40 + 0 8 + -32x = 40 Add '-8' to each side of the equation. 8 + -8 + -32x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -32x = 40 + -8 -32x = 40 + -8 Combine like terms: 40 + -8 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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