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Simplifying 24 + -1x = 7(x + 8) Reorder the terms: 24 + -1x = 7(8 + x) 24 + -1x = (8 * 7 + x * 7) 24 + -1x = (56 + 7x) Solving 24 + -1x = 56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + -1x + -7x = 56 + 7x + -7x Combine like terms: -1x + -7x = -8x 24 + -8x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -8x = 56 + 0 24 + -8x = 56 Add '-24' to each side of the equation. 24 + -24 + -8x = 56 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 56 + -24 -8x = 56 + -24 Combine like terms: 56 + -24 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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