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Simplifying -7(x + 5) + 40 = 14 + -8x Reorder the terms: -7(5 + x) + 40 = 14 + -8x (5 * -7 + x * -7) + 40 = 14 + -8x (-35 + -7x) + 40 = 14 + -8x Reorder the terms: -35 + 40 + -7x = 14 + -8x Combine like terms: -35 + 40 = 5 5 + -7x = 14 + -8x Solving 5 + -7x = 14 + -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 + -7x + 8x = 14 + -8x + 8x Combine like terms: -7x + 8x = 1x 5 + 1x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 1x = 14 + 0 5 + 1x = 14 Add '-5' to each side of the equation. 5 + -5 + 1x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 14 + -5 1x = 14 + -5 Combine like terms: 14 + -5 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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