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Simplifying 6(x + 4) = 7x + -8 Reorder the terms: 6(4 + x) = 7x + -8 (4 * 6 + x * 6) = 7x + -8 (24 + 6x) = 7x + -8 Reorder the terms: 24 + 6x = -8 + 7x Solving 24 + 6x = -8 + 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 + 6x + -7x = -8 + 7x + -7x Combine like terms: 6x + -7x = -1x 24 + -1x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -1x = -8 + 0 24 + -1x = -8 Add '-24' to each side of the equation. 24 + -24 + -1x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -8 + -24 -1x = -8 + -24 Combine like terms: -8 + -24 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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