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Simplifying 2(3x + -1) + 5 = 3(x + 4) + 5 Reorder the terms: 2(-1 + 3x) + 5 = 3(x + 4) + 5 (-1 * 2 + 3x * 2) + 5 = 3(x + 4) + 5 (-2 + 6x) + 5 = 3(x + 4) + 5 Reorder the terms: -2 + 5 + 6x = 3(x + 4) + 5 Combine like terms: -2 + 5 = 3 3 + 6x = 3(x + 4) + 5 Reorder the terms: 3 + 6x = 3(4 + x) + 5 3 + 6x = (4 * 3 + x * 3) + 5 3 + 6x = (12 + 3x) + 5 Reorder the terms: 3 + 6x = 12 + 5 + 3x Combine like terms: 12 + 5 = 17 3 + 6x = 17 + 3x Solving 3 + 6x = 17 + 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. 3 + 6x + -3x = 17 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = 17 + 0 3 + 3x = 17 Add '-3' to each side of the equation. 3 + -3 + 3x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 17 + -3 3x = 17 + -3 Combine like terms: 17 + -3 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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