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Simplifying 10 + -1(3x + 2) = 2x + -12 Reorder the terms: 10 + -1(2 + 3x) = 2x + -12 10 + (2 * -1 + 3x * -1) = 2x + -12 10 + (-2 + -3x) = 2x + -12 Combine like terms: 10 + -2 = 8 8 + -3x = 2x + -12 Reorder the terms: 8 + -3x = -12 + 2x Solving 8 + -3x = -12 + 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. 8 + -3x + -2x = -12 + 2x + -2x Combine like terms: -3x + -2x = -5x 8 + -5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -5x = -12 + 0 8 + -5x = -12 Add '-8' to each side of the equation. 8 + -8 + -5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -12 + -8 -5x = -12 + -8 Combine like terms: -12 + -8 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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