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Simplifying 2(5x + -2) = 2(9x + 3) Reorder the terms: 2(-2 + 5x) = 2(9x + 3) (-2 * 2 + 5x * 2) = 2(9x + 3) (-4 + 10x) = 2(9x + 3) Reorder the terms: -4 + 10x = 2(3 + 9x) -4 + 10x = (3 * 2 + 9x * 2) -4 + 10x = (6 + 18x) Solving -4 + 10x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + 10x + -18x = 6 + 18x + -18x Combine like terms: 10x + -18x = -8x -4 + -8x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + -8x = 6 + 0 -4 + -8x = 6 Add '4' to each side of the equation. -4 + 4 + -8x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 6 + 4 -8x = 6 + 4 Combine like terms: 6 + 4 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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