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Simplifying 5(4x + 2) + -3(6x + 2) = 2(2x + 1) Reorder the terms: 5(2 + 4x) + -3(6x + 2) = 2(2x + 1) (2 * 5 + 4x * 5) + -3(6x + 2) = 2(2x + 1) (10 + 20x) + -3(6x + 2) = 2(2x + 1) Reorder the terms: 10 + 20x + -3(2 + 6x) = 2(2x + 1) 10 + 20x + (2 * -3 + 6x * -3) = 2(2x + 1) 10 + 20x + (-6 + -18x) = 2(2x + 1) Reorder the terms: 10 + -6 + 20x + -18x = 2(2x + 1) Combine like terms: 10 + -6 = 4 4 + 20x + -18x = 2(2x + 1) Combine like terms: 20x + -18x = 2x 4 + 2x = 2(2x + 1) Reorder the terms: 4 + 2x = 2(1 + 2x) 4 + 2x = (1 * 2 + 2x * 2) 4 + 2x = (2 + 4x) Solving 4 + 2x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 2x + -4x = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x 4 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -2x = 2 + 0 4 + -2x = 2 Add '-4' to each side of the equation. 4 + -4 + -2x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 2 + -4 -2x = 2 + -4 Combine like terms: 2 + -4 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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