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Simplifying 6(5x + -3) = 2(5x + 11) Reorder the terms: 6(-3 + 5x) = 2(5x + 11) (-3 * 6 + 5x * 6) = 2(5x + 11) (-18 + 30x) = 2(5x + 11) Reorder the terms: -18 + 30x = 2(11 + 5x) -18 + 30x = (11 * 2 + 5x * 2) -18 + 30x = (22 + 10x) Solving -18 + 30x = 22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 30x + -10x = 22 + 10x + -10x Combine like terms: 30x + -10x = 20x -18 + 20x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 20x = 22 + 0 -18 + 20x = 22 Add '18' to each side of the equation. -18 + 18 + 20x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 20x = 22 + 18 20x = 22 + 18 Combine like terms: 22 + 18 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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