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Simplifying -6(x + 4) + 32 = 13 + -7x Reorder the terms: -6(4 + x) + 32 = 13 + -7x (4 * -6 + x * -6) + 32 = 13 + -7x (-24 + -6x) + 32 = 13 + -7x Reorder the terms: -24 + 32 + -6x = 13 + -7x Combine like terms: -24 + 32 = 8 8 + -6x = 13 + -7x Solving 8 + -6x = 13 + -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. 8 + -6x + 7x = 13 + -7x + 7x Combine like terms: -6x + 7x = 1x 8 + 1x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 1x = 13 + 0 8 + 1x = 13 Add '-8' to each side of the equation. 8 + -8 + 1x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 13 + -8 1x = 13 + -8 Combine like terms: 13 + -8 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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