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Simplifying 3x + -4x + -10 = 2x + 6 + -8 Reorder the terms: -10 + 3x + -4x = 2x + 6 + -8 Combine like terms: 3x + -4x = -1x -10 + -1x = 2x + 6 + -8 Reorder the terms: -10 + -1x = 6 + -8 + 2x Combine like terms: 6 + -8 = -2 -10 + -1x = -2 + 2x Solving -10 + -1x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -1x + -2x = -2 + 2x + -2x Combine like terms: -1x + -2x = -3x -10 + -3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -3x = -2 + 0 -10 + -3x = -2 Add '10' to each side of the equation. -10 + 10 + -3x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -2 + 10 -3x = -2 + 10 Combine like terms: -2 + 10 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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