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Simplifying 3x + 10 = 2(8 + 3x) Reorder the terms: 10 + 3x = 2(8 + 3x) 10 + 3x = (8 * 2 + 3x * 2) 10 + 3x = (16 + 6x) Solving 10 + 3x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 3x + -6x = 16 + 6x + -6x Combine like terms: 3x + -6x = -3x 10 + -3x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -3x = 16 + 0 10 + -3x = 16 Add '-10' to each side of the equation. 10 + -10 + -3x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 16 + -10 -3x = 16 + -10 Combine like terms: 16 + -10 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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