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Simplifying 2(x + 1) + -3(x + -2) = 13x + 30 Reorder the terms: 2(1 + x) + -3(x + -2) = 13x + 30 (1 * 2 + x * 2) + -3(x + -2) = 13x + 30 (2 + 2x) + -3(x + -2) = 13x + 30 Reorder the terms: 2 + 2x + -3(-2 + x) = 13x + 30 2 + 2x + (-2 * -3 + x * -3) = 13x + 30 2 + 2x + (6 + -3x) = 13x + 30 Reorder the terms: 2 + 6 + 2x + -3x = 13x + 30 Combine like terms: 2 + 6 = 8 8 + 2x + -3x = 13x + 30 Combine like terms: 2x + -3x = -1x 8 + -1x = 13x + 30 Reorder the terms: 8 + -1x = 30 + 13x Solving 8 + -1x = 30 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 8 + -1x + -13x = 30 + 13x + -13x Combine like terms: -1x + -13x = -14x 8 + -14x = 30 + 13x + -13x Combine like terms: 13x + -13x = 0 8 + -14x = 30 + 0 8 + -14x = 30 Add '-8' to each side of the equation. 8 + -8 + -14x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 30 + -8 -14x = 30 + -8 Combine like terms: 30 + -8 = 22 -14x = 22 Divide each side by '-14'. x = -1.571428571 Simplifying x = -1.571428571
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