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Simplifying 3(x + -1) + -4x = 5(x + -2) Reorder the terms: 3(-1 + x) + -4x = 5(x + -2) (-1 * 3 + x * 3) + -4x = 5(x + -2) (-3 + 3x) + -4x = 5(x + -2) Combine like terms: 3x + -4x = -1x -3 + -1x = 5(x + -2) Reorder the terms: -3 + -1x = 5(-2 + x) -3 + -1x = (-2 * 5 + x * 5) -3 + -1x = (-10 + 5x) Solving -3 + -1x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + -1x + -5x = -10 + 5x + -5x Combine like terms: -1x + -5x = -6x -3 + -6x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -6x = -10 + 0 -3 + -6x = -10 Add '3' to each side of the equation. -3 + 3 + -6x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -10 + 3 -6x = -10 + 3 Combine like terms: -10 + 3 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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