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Simplifying -5(1 + 7x) + 4x = 18 + -8x (1 * -5 + 7x * -5) + 4x = 18 + -8x (-5 + -35x) + 4x = 18 + -8x Combine like terms: -35x + 4x = -31x -5 + -31x = 18 + -8x Solving -5 + -31x = 18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + -31x + 8x = 18 + -8x + 8x Combine like terms: -31x + 8x = -23x -5 + -23x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -23x = 18 + 0 -5 + -23x = 18 Add '5' to each side of the equation. -5 + 5 + -23x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + -23x = 18 + 5 -23x = 18 + 5 Combine like terms: 18 + 5 = 23 -23x = 23 Divide each side by '-23'. x = -1 Simplifying x = -1
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