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Simplifying 2(3x + 5) + -1(x + 14) = 3(x + -2) Reorder the terms: 2(5 + 3x) + -1(x + 14) = 3(x + -2) (5 * 2 + 3x * 2) + -1(x + 14) = 3(x + -2) (10 + 6x) + -1(x + 14) = 3(x + -2) Reorder the terms: 10 + 6x + -1(14 + x) = 3(x + -2) 10 + 6x + (14 * -1 + x * -1) = 3(x + -2) 10 + 6x + (-14 + -1x) = 3(x + -2) Reorder the terms: 10 + -14 + 6x + -1x = 3(x + -2) Combine like terms: 10 + -14 = -4 -4 + 6x + -1x = 3(x + -2) Combine like terms: 6x + -1x = 5x -4 + 5x = 3(x + -2) Reorder the terms: -4 + 5x = 3(-2 + x) -4 + 5x = (-2 * 3 + x * 3) -4 + 5x = (-6 + 3x) Solving -4 + 5x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = -6 + 0 -4 + 2x = -6 Add '4' to each side of the equation. -4 + 4 + 2x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -6 + 4 2x = -6 + 4 Combine like terms: -6 + 4 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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