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Simplifying 5x + 6 + -8x + -10 = 3(x + 2) Reorder the terms: 6 + -10 + 5x + -8x = 3(x + 2) Combine like terms: 6 + -10 = -4 -4 + 5x + -8x = 3(x + 2) Combine like terms: 5x + -8x = -3x -4 + -3x = 3(x + 2) Reorder the terms: -4 + -3x = 3(2 + x) -4 + -3x = (2 * 3 + x * 3) -4 + -3x = (6 + 3x) Solving -4 + -3x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -3x + -3x = 6 + 3x + -3x Combine like terms: -3x + -3x = -6x -4 + -6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -6x = 6 + 0 -4 + -6x = 6 Add '4' to each side of the equation. -4 + 4 + -6x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 6 + 4 -6x = 6 + 4 Combine like terms: 6 + 4 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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