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Simplifying 3 + -1(3x + -10) = -10 + -1(12 + -2x) Reorder the terms: 3 + -1(-10 + 3x) = -10 + -1(12 + -2x) 3 + (-10 * -1 + 3x * -1) = -10 + -1(12 + -2x) 3 + (10 + -3x) = -10 + -1(12 + -2x) Combine like terms: 3 + 10 = 13 13 + -3x = -10 + -1(12 + -2x) 13 + -3x = -10 + (12 * -1 + -2x * -1) 13 + -3x = -10 + (-12 + 2x) Combine like terms: -10 + -12 = -22 13 + -3x = -22 + 2x Solving 13 + -3x = -22 + 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. 13 + -3x + -2x = -22 + 2x + -2x Combine like terms: -3x + -2x = -5x 13 + -5x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -5x = -22 + 0 13 + -5x = -22 Add '-13' to each side of the equation. 13 + -13 + -5x = -22 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -22 + -13 -5x = -22 + -13 Combine like terms: -22 + -13 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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