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Simplifying -2(5x + 1) + 3(2x + -2) = 5(4x + -2) + -2(3x + 1) Reorder the terms: -2(1 + 5x) + 3(2x + -2) = 5(4x + -2) + -2(3x + 1) (1 * -2 + 5x * -2) + 3(2x + -2) = 5(4x + -2) + -2(3x + 1) (-2 + -10x) + 3(2x + -2) = 5(4x + -2) + -2(3x + 1) Reorder the terms: -2 + -10x + 3(-2 + 2x) = 5(4x + -2) + -2(3x + 1) -2 + -10x + (-2 * 3 + 2x * 3) = 5(4x + -2) + -2(3x + 1) -2 + -10x + (-6 + 6x) = 5(4x + -2) + -2(3x + 1) Reorder the terms: -2 + -6 + -10x + 6x = 5(4x + -2) + -2(3x + 1) Combine like terms: -2 + -6 = -8 -8 + -10x + 6x = 5(4x + -2) + -2(3x + 1) Combine like terms: -10x + 6x = -4x -8 + -4x = 5(4x + -2) + -2(3x + 1) Reorder the terms: -8 + -4x = 5(-2 + 4x) + -2(3x + 1) -8 + -4x = (-2 * 5 + 4x * 5) + -2(3x + 1) -8 + -4x = (-10 + 20x) + -2(3x + 1) Reorder the terms: -8 + -4x = -10 + 20x + -2(1 + 3x) -8 + -4x = -10 + 20x + (1 * -2 + 3x * -2) -8 + -4x = -10 + 20x + (-2 + -6x) Reorder the terms: -8 + -4x = -10 + -2 + 20x + -6x Combine like terms: -10 + -2 = -12 -8 + -4x = -12 + 20x + -6x Combine like terms: 20x + -6x = 14x -8 + -4x = -12 + 14x Solving -8 + -4x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + -4x + -14x = -12 + 14x + -14x Combine like terms: -4x + -14x = -18x -8 + -18x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -18x = -12 + 0 -8 + -18x = -12 Add '8' to each side of the equation. -8 + 8 + -18x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = -12 + 8 -18x = -12 + 8 Combine like terms: -12 + 8 = -4 -18x = -4 Divide each side by '-18'. x = 0.2222222222 Simplifying x = 0.2222222222
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