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Simplifying 3(x + -1) + -4x = 2 + -1(4x + 10) Reorder the terms: 3(-1 + x) + -4x = 2 + -1(4x + 10) (-1 * 3 + x * 3) + -4x = 2 + -1(4x + 10) (-3 + 3x) + -4x = 2 + -1(4x + 10) Combine like terms: 3x + -4x = -1x -3 + -1x = 2 + -1(4x + 10) Reorder the terms: -3 + -1x = 2 + -1(10 + 4x) -3 + -1x = 2 + (10 * -1 + 4x * -1) -3 + -1x = 2 + (-10 + -4x) Combine like terms: 2 + -10 = -8 -3 + -1x = -8 + -4x Solving -3 + -1x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + -1x + 4x = -8 + -4x + 4x Combine like terms: -1x + 4x = 3x -3 + 3x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 3x = -8 + 0 -3 + 3x = -8 Add '3' to each side of the equation. -3 + 3 + 3x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -8 + 3 3x = -8 + 3 Combine like terms: -8 + 3 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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