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Simplifying 5x + 10 = 3(x + 12) + -3 Reorder the terms: 10 + 5x = 3(x + 12) + -3 Reorder the terms: 10 + 5x = 3(12 + x) + -3 10 + 5x = (12 * 3 + x * 3) + -3 10 + 5x = (36 + 3x) + -3 Reorder the terms: 10 + 5x = 36 + -3 + 3x Combine like terms: 36 + -3 = 33 10 + 5x = 33 + 3x Solving 10 + 5x = 33 + 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 + 5x + -3x = 33 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 33 + 0 10 + 2x = 33 Add '-10' to each side of the equation. 10 + -10 + 2x = 33 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 33 + -10 2x = 33 + -10 Combine like terms: 33 + -10 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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