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Simplifying 3x + 5 = 6 + -3(5 + -2x) Reorder the terms: 5 + 3x = 6 + -3(5 + -2x) 5 + 3x = 6 + (5 * -3 + -2x * -3) 5 + 3x = 6 + (-15 + 6x) Combine like terms: 6 + -15 = -9 5 + 3x = -9 + 6x Solving 5 + 3x = -9 + 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. 5 + 3x + -6x = -9 + 6x + -6x Combine like terms: 3x + -6x = -3x 5 + -3x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -3x = -9 + 0 5 + -3x = -9 Add '-5' to each side of the equation. 5 + -5 + -3x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -9 + -5 -3x = -9 + -5 Combine like terms: -9 + -5 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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