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Simplifying 2(x + -3) = 4(5x + 2) Reorder the terms: 2(-3 + x) = 4(5x + 2) (-3 * 2 + x * 2) = 4(5x + 2) (-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 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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