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Simplifying 2(x + -1) + -3(x + -2) + 4(x + -3) = 0 Reorder the terms: 2(-1 + x) + -3(x + -2) + 4(x + -3) = 0 (-1 * 2 + x * 2) + -3(x + -2) + 4(x + -3) = 0 (-2 + 2x) + -3(x + -2) + 4(x + -3) = 0 Reorder the terms: -2 + 2x + -3(-2 + x) + 4(x + -3) = 0 -2 + 2x + (-2 * -3 + x * -3) + 4(x + -3) = 0 -2 + 2x + (6 + -3x) + 4(x + -3) = 0 Reorder the terms: -2 + 2x + 6 + -3x + 4(-3 + x) = 0 -2 + 2x + 6 + -3x + (-3 * 4 + x * 4) = 0 -2 + 2x + 6 + -3x + (-12 + 4x) = 0 Reorder the terms: -2 + 6 + -12 + 2x + -3x + 4x = 0 Combine like terms: -2 + 6 = 4 4 + -12 + 2x + -3x + 4x = 0 Combine like terms: 4 + -12 = -8 -8 + 2x + -3x + 4x = 0 Combine like terms: 2x + -3x = -1x -8 + -1x + 4x = 0 Combine like terms: -1x + 4x = 3x -8 + 3x = 0 Solving -8 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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