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Simplifying 3(x + 1) = 3x + 5 + -2(-3x + -4) Reorder the terms: 3(1 + x) = 3x + 5 + -2(-3x + -4) (1 * 3 + x * 3) = 3x + 5 + -2(-3x + -4) (3 + 3x) = 3x + 5 + -2(-3x + -4) Reorder the terms: 3 + 3x = 3x + 5 + -2(-4 + -3x) 3 + 3x = 3x + 5 + (-4 * -2 + -3x * -2) 3 + 3x = 3x + 5 + (8 + 6x) Reorder the terms: 3 + 3x = 5 + 8 + 3x + 6x Combine like terms: 5 + 8 = 13 3 + 3x = 13 + 3x + 6x Combine like terms: 3x + 6x = 9x 3 + 3x = 13 + 9x Solving 3 + 3x = 13 + 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. 3 + 3x + -9x = 13 + 9x + -9x Combine like terms: 3x + -9x = -6x 3 + -6x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -6x = 13 + 0 3 + -6x = 13 Add '-3' to each side of the equation. 3 + -3 + -6x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 13 + -3 -6x = 13 + -3 Combine like terms: 13 + -3 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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