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Simplifying 5(x + 2) + -3x = 2(2x + 5) Reorder the terms: 5(2 + x) + -3x = 2(2x + 5) (2 * 5 + x * 5) + -3x = 2(2x + 5) (10 + 5x) + -3x = 2(2x + 5) Combine like terms: 5x + -3x = 2x 10 + 2x = 2(2x + 5) Reorder the terms: 10 + 2x = 2(5 + 2x) 10 + 2x = (5 * 2 + 2x * 2) 10 + 2x = (10 + 4x) Add '-10' to each side of the equation. 10 + -10 + 2x = 10 + -10 + 4x Combine like terms: 10 + -10 = 0 0 + 2x = 10 + -10 + 4x 2x = 10 + -10 + 4x Combine like terms: 10 + -10 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 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. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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