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Simplifying 4x + 2(x + 5) = 12 + 3x Reorder the terms: 4x + 2(5 + x) = 12 + 3x 4x + (5 * 2 + x * 2) = 12 + 3x 4x + (10 + 2x) = 12 + 3x Reorder the terms: 10 + 4x + 2x = 12 + 3x Combine like terms: 4x + 2x = 6x 10 + 6x = 12 + 3x Solving 10 + 6x = 12 + 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 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x 10 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 3x = 12 + 0 10 + 3x = 12 Add '-10' to each side of the equation. 10 + -10 + 3x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 12 + -10 3x = 12 + -10 Combine like terms: 12 + -10 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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