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Simplifying 3[10 + -1x] = 2[8 + -1x] + 13x [10 * 3 + -1x * 3] = 2[8 + -1x] + 13x [30 + -3x] = 2[8 + -1x] + 13x 30 + -3x = [8 * 2 + -1x * 2] + 13x 30 + -3x = [16 + -2x] + 13x Combine like terms: -2x + 13x = 11x 30 + -3x = 16 + 11x Solving 30 + -3x = 16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 30 + -3x + -11x = 16 + 11x + -11x Combine like terms: -3x + -11x = -14x 30 + -14x = 16 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + -14x = 16 + 0 30 + -14x = 16 Add '-30' to each side of the equation. 30 + -30 + -14x = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 16 + -30 -14x = 16 + -30 Combine like terms: 16 + -30 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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