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Simplifying 3(12 + 2x) + -6 = 10 + -2(6 + x) (12 * 3 + 2x * 3) + -6 = 10 + -2(6 + x) (36 + 6x) + -6 = 10 + -2(6 + x) Reorder the terms: 36 + -6 + 6x = 10 + -2(6 + x) Combine like terms: 36 + -6 = 30 30 + 6x = 10 + -2(6 + x) 30 + 6x = 10 + (6 * -2 + x * -2) 30 + 6x = 10 + (-12 + -2x) Combine like terms: 10 + -12 = -2 30 + 6x = -2 + -2x Solving 30 + 6x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + 6x + 2x = -2 + -2x + 2x Combine like terms: 6x + 2x = 8x 30 + 8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 8x = -2 + 0 30 + 8x = -2 Add '-30' to each side of the equation. 30 + -30 + 8x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = -2 + -30 8x = -2 + -30 Combine like terms: -2 + -30 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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