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Simplifying 2(x + 6) + 4x = 8 + -1(6x + -10) Reorder the terms: 2(6 + x) + 4x = 8 + -1(6x + -10) (6 * 2 + x * 2) + 4x = 8 + -1(6x + -10) (12 + 2x) + 4x = 8 + -1(6x + -10) Combine like terms: 2x + 4x = 6x 12 + 6x = 8 + -1(6x + -10) Reorder the terms: 12 + 6x = 8 + -1(-10 + 6x) 12 + 6x = 8 + (-10 * -1 + 6x * -1) 12 + 6x = 8 + (10 + -6x) Combine like terms: 8 + 10 = 18 12 + 6x = 18 + -6x Solving 12 + 6x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + 6x + 6x = 18 + -6x + 6x Combine like terms: 6x + 6x = 12x 12 + 12x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 12x = 18 + 0 12 + 12x = 18 Add '-12' to each side of the equation. 12 + -12 + 12x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 18 + -12 12x = 18 + -12 Combine like terms: 18 + -12 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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