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Simplifying -4(2x + -3) + -2(3 + -5x) = 4(5x + 2) Reorder the terms: -4(-3 + 2x) + -2(3 + -5x) = 4(5x + 2) (-3 * -4 + 2x * -4) + -2(3 + -5x) = 4(5x + 2) (12 + -8x) + -2(3 + -5x) = 4(5x + 2) 12 + -8x + (3 * -2 + -5x * -2) = 4(5x + 2) 12 + -8x + (-6 + 10x) = 4(5x + 2) Reorder the terms: 12 + -6 + -8x + 10x = 4(5x + 2) Combine like terms: 12 + -6 = 6 6 + -8x + 10x = 4(5x + 2) Combine like terms: -8x + 10x = 2x 6 + 2x = 4(5x + 2) Reorder the terms: 6 + 2x = 4(2 + 5x) 6 + 2x = (2 * 4 + 5x * 4) 6 + 2x = (8 + 20x) Solving 6 + 2x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 2x + -20x = 8 + 20x + -20x Combine like terms: 2x + -20x = -18x 6 + -18x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -18x = 8 + 0 6 + -18x = 8 Add '-6' to each side of the equation. 6 + -6 + -18x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 8 + -6 -18x = 8 + -6 Combine like terms: 8 + -6 = 2 -18x = 2 Divide each side by '-18'. x = -0.1111111111 Simplifying x = -0.1111111111
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