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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 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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