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