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Simplifying 32 + -1(x + 8) = 6x + -4 Reorder the terms: 32 + -1(8 + x) = 6x + -4 32 + (8 * -1 + x * -1) = 6x + -4 32 + (-8 + -1x) = 6x + -4 Combine like terms: 32 + -8 = 24 24 + -1x = 6x + -4 Reorder the terms: 24 + -1x = -4 + 6x Solving 24 + -1x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + -1x + -6x = -4 + 6x + -6x Combine like terms: -1x + -6x = -7x 24 + -7x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -7x = -4 + 0 24 + -7x = -4 Add '-24' to each side of the equation. 24 + -24 + -7x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = -4 + -24 -7x = -4 + -24 Combine like terms: -4 + -24 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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