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Simplifying 2(x + 5) = 3x + 7 Reorder the terms: 2(5 + x) = 3x + 7 (5 * 2 + x * 2) = 3x + 7 (10 + 2x) = 3x + 7 Reorder the terms: 10 + 2x = 7 + 3x Solving 10 + 2x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 2x + -3x = 7 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 7 + 0 10 + -1x = 7 Add '-10' to each side of the equation. 10 + -10 + -1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 7 + -10 -1x = 7 + -10 Combine like terms: 7 + -10 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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