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Simplifying 7x + -1(x + -12) = 32 + -4x Reorder the terms: 7x + -1(-12 + x) = 32 + -4x 7x + (-12 * -1 + x * -1) = 32 + -4x 7x + (12 + -1x) = 32 + -4x Reorder the terms: 12 + 7x + -1x = 32 + -4x Combine like terms: 7x + -1x = 6x 12 + 6x = 32 + -4x Solving 12 + 6x = 32 + -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. 12 + 6x + 4x = 32 + -4x + 4x Combine like terms: 6x + 4x = 10x 12 + 10x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 10x = 32 + 0 12 + 10x = 32 Add '-12' to each side of the equation. 12 + -12 + 10x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 32 + -12 10x = 32 + -12 Combine like terms: 32 + -12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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