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Simplifying 6x + -1(6 + -4x) + 10 = 12x + -1(x + 4) 6x + (6 * -1 + -4x * -1) + 10 = 12x + -1(x + 4) 6x + (-6 + 4x) + 10 = 12x + -1(x + 4) Reorder the terms: -6 + 10 + 6x + 4x = 12x + -1(x + 4) Combine like terms: -6 + 10 = 4 4 + 6x + 4x = 12x + -1(x + 4) Combine like terms: 6x + 4x = 10x 4 + 10x = 12x + -1(x + 4) Reorder the terms: 4 + 10x = 12x + -1(4 + x) 4 + 10x = 12x + (4 * -1 + x * -1) 4 + 10x = 12x + (-4 + -1x) Reorder the terms: 4 + 10x = -4 + 12x + -1x Combine like terms: 12x + -1x = 11x 4 + 10x = -4 + 11x Solving 4 + 10x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + 10x + -11x = -4 + 11x + -11x Combine like terms: 10x + -11x = -1x 4 + -1x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + -1x = -4 + 0 4 + -1x = -4 Add '-4' to each side of the equation. 4 + -4 + -1x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -4 + -4 -1x = -4 + -4 Combine like terms: -4 + -4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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