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Simplifying 3(x + 2) + -5 = 4(3x + 5) + -3x Reorder the terms: 3(2 + x) + -5 = 4(3x + 5) + -3x (2 * 3 + x * 3) + -5 = 4(3x + 5) + -3x (6 + 3x) + -5 = 4(3x + 5) + -3x Reorder the terms: 6 + -5 + 3x = 4(3x + 5) + -3x Combine like terms: 6 + -5 = 1 1 + 3x = 4(3x + 5) + -3x Reorder the terms: 1 + 3x = 4(5 + 3x) + -3x 1 + 3x = (5 * 4 + 3x * 4) + -3x 1 + 3x = (20 + 12x) + -3x Combine like terms: 12x + -3x = 9x 1 + 3x = 20 + 9x Solving 1 + 3x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 3x + -9x = 20 + 9x + -9x Combine like terms: 3x + -9x = -6x 1 + -6x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -6x = 20 + 0 1 + -6x = 20 Add '-1' to each side of the equation. 1 + -1 + -6x = 20 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 20 + -1 -6x = 20 + -1 Combine like terms: 20 + -1 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667
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