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Simplifying 32 = 4(x + 2) + -7x Reorder the terms: 32 = 4(2 + x) + -7x 32 = (2 * 4 + x * 4) + -7x 32 = (8 + 4x) + -7x Combine like terms: 4x + -7x = -3x 32 = 8 + -3x Solving 32 = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 32 + 3x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 32 + 3x = 8 + 0 32 + 3x = 8 Add '-32' to each side of the equation. 32 + -32 + 3x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 8 + -32 3x = 8 + -32 Combine like terms: 8 + -32 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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