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Simplifying 5 + 3(3x + -1) = -3(2x + -2) + 9x Reorder the terms: 5 + 3(-1 + 3x) = -3(2x + -2) + 9x 5 + (-1 * 3 + 3x * 3) = -3(2x + -2) + 9x 5 + (-3 + 9x) = -3(2x + -2) + 9x Combine like terms: 5 + -3 = 2 2 + 9x = -3(2x + -2) + 9x Reorder the terms: 2 + 9x = -3(-2 + 2x) + 9x 2 + 9x = (-2 * -3 + 2x * -3) + 9x 2 + 9x = (6 + -6x) + 9x Combine like terms: -6x + 9x = 3x 2 + 9x = 6 + 3x Solving 2 + 9x = 6 + 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. 2 + 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x 2 + 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 6x = 6 + 0 2 + 6x = 6 Add '-2' to each side of the equation. 2 + -2 + 6x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 6 + -2 6x = 6 + -2 Combine like terms: 6 + -2 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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