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Simplifying 5(2x + 4) + -2(x + 1) = 38 + -2x Reorder the terms: 5(4 + 2x) + -2(x + 1) = 38 + -2x (4 * 5 + 2x * 5) + -2(x + 1) = 38 + -2x (20 + 10x) + -2(x + 1) = 38 + -2x Reorder the terms: 20 + 10x + -2(1 + x) = 38 + -2x 20 + 10x + (1 * -2 + x * -2) = 38 + -2x 20 + 10x + (-2 + -2x) = 38 + -2x Reorder the terms: 20 + -2 + 10x + -2x = 38 + -2x Combine like terms: 20 + -2 = 18 18 + 10x + -2x = 38 + -2x Combine like terms: 10x + -2x = 8x 18 + 8x = 38 + -2x Solving 18 + 8x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + 8x + 2x = 38 + -2x + 2x Combine like terms: 8x + 2x = 10x 18 + 10x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 10x = 38 + 0 18 + 10x = 38 Add '-18' to each side of the equation. 18 + -18 + 10x = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = 38 + -18 10x = 38 + -18 Combine like terms: 38 + -18 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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