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Simplifying -2(5x + 3) + -1(4x + -1) = 5x + 2 Reorder the terms: -2(3 + 5x) + -1(4x + -1) = 5x + 2 (3 * -2 + 5x * -2) + -1(4x + -1) = 5x + 2 (-6 + -10x) + -1(4x + -1) = 5x + 2 Reorder the terms: -6 + -10x + -1(-1 + 4x) = 5x + 2 -6 + -10x + (-1 * -1 + 4x * -1) = 5x + 2 -6 + -10x + (1 + -4x) = 5x + 2 Reorder the terms: -6 + 1 + -10x + -4x = 5x + 2 Combine like terms: -6 + 1 = -5 -5 + -10x + -4x = 5x + 2 Combine like terms: -10x + -4x = -14x -5 + -14x = 5x + 2 Reorder the terms: -5 + -14x = 2 + 5x Solving -5 + -14x = 2 + 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 = 2 + 5x + -5x Combine like terms: -14x + -5x = -19x -5 + -19x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -19x = 2 + 0 -5 + -19x = 2 Add '5' to each side of the equation. -5 + 5 + -19x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -19x = 2 + 5 -19x = 2 + 5 Combine like terms: 2 + 5 = 7 -19x = 7 Divide each side by '-19'. x = -0.3684210526 Simplifying x = -0.3684210526
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