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Simplifying 2(x + -1) + -3(x + 2) = -4x Reorder the terms: 2(-1 + x) + -3(x + 2) = -4x (-1 * 2 + x * 2) + -3(x + 2) = -4x (-2 + 2x) + -3(x + 2) = -4x Reorder the terms: -2 + 2x + -3(2 + x) = -4x -2 + 2x + (2 * -3 + x * -3) = -4x -2 + 2x + (-6 + -3x) = -4x Reorder the terms: -2 + -6 + 2x + -3x = -4x Combine like terms: -2 + -6 = -8 -8 + 2x + -3x = -4x Combine like terms: 2x + -3x = -1x -8 + -1x = -4x Solving -8 + -1x = -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. -8 + -1x + 4x = -4x + 4x Combine like terms: -1x + 4x = 3x -8 + 3x = -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 3x = 0 Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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