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