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Simplifying 5 + 2(3x + 1) = 3x + 5 Reorder the terms: 5 + 2(1 + 3x) = 3x + 5 5 + (1 * 2 + 3x * 2) = 3x + 5 5 + (2 + 6x) = 3x + 5 Combine like terms: 5 + 2 = 7 7 + 6x = 3x + 5 Reorder the terms: 7 + 6x = 5 + 3x Solving 7 + 6x = 5 + 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. 7 + 6x + -3x = 5 + 3x + -3x Combine like terms: 6x + -3x = 3x 7 + 3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 3x = 5 + 0 7 + 3x = 5 Add '-7' to each side of the equation. 7 + -7 + 3x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 5 + -7 3x = 5 + -7 Combine like terms: 5 + -7 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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