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Simplifying 10 + -2(3x + -1) = 6x + 18 Reorder the terms: 10 + -2(-1 + 3x) = 6x + 18 10 + (-1 * -2 + 3x * -2) = 6x + 18 10 + (2 + -6x) = 6x + 18 Combine like terms: 10 + 2 = 12 12 + -6x = 6x + 18 Reorder the terms: 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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