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Simplifying 5x + 3 = 2(x + 2) + 8 Reorder the terms: 3 + 5x = 2(x + 2) + 8 Reorder the terms: 3 + 5x = 2(2 + x) + 8 3 + 5x = (2 * 2 + x * 2) + 8 3 + 5x = (4 + 2x) + 8 Reorder the terms: 3 + 5x = 4 + 8 + 2x Combine like terms: 4 + 8 = 12 3 + 5x = 12 + 2x Solving 3 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = 12 + 0 3 + 3x = 12 Add '-3' to each side of the equation. 3 + -3 + 3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 12 + -3 3x = 12 + -3 Combine like terms: 12 + -3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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