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Simplifying 32 + 6x = -4(-6 + x) + -2 32 + 6x = (-6 * -4 + x * -4) + -2 32 + 6x = (24 + -4x) + -2 Reorder the terms: 32 + 6x = 24 + -2 + -4x Combine like terms: 24 + -2 = 22 32 + 6x = 22 + -4x Solving 32 + 6x = 22 + -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 + 6x + 4x = 22 + -4x + 4x Combine like terms: 6x + 4x = 10x 32 + 10x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + 10x = 22 + 0 32 + 10x = 22 Add '-32' to each side of the equation. 32 + -32 + 10x = 22 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = 22 + -32 10x = 22 + -32 Combine like terms: 22 + -32 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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