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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 = 2x 12 + 2x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 32 + 0 12 + 2x = 32 Add '-12' to each side of the equation. 12 + -12 + 2x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 32 + -12 2x = 32 + -12 Combine like terms: 32 + -12 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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