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Simplifying 5(x + 2) + -3x = 2(2x + 3) Reorder the terms: 5(2 + x) + -3x = 2(2x + 3) (2 * 5 + x * 5) + -3x = 2(2x + 3) (10 + 5x) + -3x = 2(2x + 3) Combine like terms: 5x + -3x = 2x 10 + 2x = 2(2x + 3) Reorder the terms: 10 + 2x = 2(3 + 2x) 10 + 2x = (3 * 2 + 2x * 2) 10 + 2x = (6 + 4x) Solving 10 + 2x = 6 + 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. 10 + 2x + -4x = 6 + 4x + -4x Combine like terms: 2x + -4x = -2x 10 + -2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -2x = 6 + 0 10 + -2x = 6 Add '-10' to each side of the equation. 10 + -10 + -2x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 6 + -10 -2x = 6 + -10 Combine like terms: 6 + -10 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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