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Simplifying 12 = 6x + -1(10x + -4) Reorder the terms: 12 = 6x + -1(-4 + 10x) 12 = 6x + (-4 * -1 + 10x * -1) 12 = 6x + (4 + -10x) Reorder the terms: 12 = 4 + 6x + -10x Combine like terms: 6x + -10x = -4x 12 = 4 + -4x Solving 12 = 4 + -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 = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 4x = 4 + 0 12 + 4x = 4 Add '-12' to each side of the equation. 12 + -12 + 4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 4 + -12 4x = 4 + -12 Combine like terms: 4 + -12 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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