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Simplifying 12 = 8x + -1(4x + -10) Reorder the terms: 12 = 8x + -1(-10 + 4x) 12 = 8x + (-10 * -1 + 4x * -1) 12 = 8x + (10 + -4x) Reorder the terms: 12 = 10 + 8x + -4x Combine like terms: 8x + -4x = 4x 12 = 10 + 4x Solving 12 = 10 + 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 + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -4x = 10 + 0 12 + -4x = 10 Add '-12' to each side of the equation. 12 + -12 + -4x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 10 + -12 -4x = 10 + -12 Combine like terms: 10 + -12 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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