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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 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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