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Simplifying 64 = 2(5x + 2) + (3x + -2) Reorder the terms: 64 = 2(2 + 5x) + (3x + -2) 64 = (2 * 2 + 5x * 2) + (3x + -2) 64 = (4 + 10x) + (3x + -2) Reorder the terms: 64 = 4 + 10x + (-2 + 3x) Remove parenthesis around (-2 + 3x) 64 = 4 + 10x + -2 + 3x Reorder the terms: 64 = 4 + -2 + 10x + 3x Combine like terms: 4 + -2 = 2 64 = 2 + 10x + 3x Combine like terms: 10x + 3x = 13x 64 = 2 + 13x Solving 64 = 2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 64 + -13x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 64 + -13x = 2 + 0 64 + -13x = 2 Add '-64' to each side of the equation. 64 + -64 + -13x = 2 + -64 Combine like terms: 64 + -64 = 0 0 + -13x = 2 + -64 -13x = 2 + -64 Combine like terms: 2 + -64 = -62 -13x = -62 Divide each side by '-13'. x = 4.769230769 Simplifying x = 4.769230769
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