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Simplifying -2(5x + 3) + -1(4x + -1) = 5(x + 2) Reorder the terms: -2(3 + 5x) + -1(4x + -1) = 5(x + 2) (3 * -2 + 5x * -2) + -1(4x + -1) = 5(x + 2) (-6 + -10x) + -1(4x + -1) = 5(x + 2) Reorder the terms: -6 + -10x + -1(-1 + 4x) = 5(x + 2) -6 + -10x + (-1 * -1 + 4x * -1) = 5(x + 2) -6 + -10x + (1 + -4x) = 5(x + 2) Reorder the terms: -6 + 1 + -10x + -4x = 5(x + 2) Combine like terms: -6 + 1 = -5 -5 + -10x + -4x = 5(x + 2) Combine like terms: -10x + -4x = -14x -5 + -14x = 5(x + 2) Reorder the terms: -5 + -14x = 5(2 + x) -5 + -14x = (2 * 5 + x * 5) -5 + -14x = (10 + 5x) Solving -5 + -14x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -14x + -5x = 10 + 5x + -5x Combine like terms: -14x + -5x = -19x -5 + -19x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -19x = 10 + 0 -5 + -19x = 10 Add '5' to each side of the equation. -5 + 5 + -19x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -19x = 10 + 5 -19x = 10 + 5 Combine like terms: 10 + 5 = 15 -19x = 15 Divide each side by '-19'. x = -0.7894736842 Simplifying x = -0.7894736842
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