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Simplifying 3x + -4 + 10 + -5x = 4x + -8 + 6x Reorder the terms: -4 + 10 + 3x + -5x = 4x + -8 + 6x Combine like terms: -4 + 10 = 6 6 + 3x + -5x = 4x + -8 + 6x Combine like terms: 3x + -5x = -2x 6 + -2x = 4x + -8 + 6x Reorder the terms: 6 + -2x = -8 + 4x + 6x Combine like terms: 4x + 6x = 10x 6 + -2x = -8 + 10x Solving 6 + -2x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + -2x + -10x = -8 + 10x + -10x Combine like terms: -2x + -10x = -12x 6 + -12x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -12x = -8 + 0 6 + -12x = -8 Add '-6' to each side of the equation. 6 + -6 + -12x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -8 + -6 -12x = -8 + -6 Combine like terms: -8 + -6 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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