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Simplifying -2(5x + 3) + (4x + 1) = 5(x + 2) Reorder the terms: -2(3 + 5x) + (4x + 1) = 5(x + 2) (3 * -2 + 5x * -2) + (4x + 1) = 5(x + 2) (-6 + -10x) + (4x + 1) = 5(x + 2) Reorder the terms: -6 + -10x + (1 + 4x) = 5(x + 2) Remove parenthesis around (1 + 4x) -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 = -6x -5 + -6x = 5(x + 2) Reorder the terms: -5 + -6x = 5(2 + x) -5 + -6x = (2 * 5 + x * 5) -5 + -6x = (10 + 5x) Solving -5 + -6x = 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 + -6x + -5x = 10 + 5x + -5x Combine like terms: -6x + -5x = -11x -5 + -11x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -11x = 10 + 0 -5 + -11x = 10 Add '5' to each side of the equation. -5 + 5 + -11x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 10 + 5 -11x = 10 + 5 Combine like terms: 10 + 5 = 15 -11x = 15 Divide each side by '-11'. x = -1.363636364 Simplifying x = -1.363636364
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