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Simplifying 5x + -8x + 12 = 35 + -6x Reorder the terms: 12 + 5x + -8x = 35 + -6x Combine like terms: 5x + -8x = -3x 12 + -3x = 35 + -6x Solving 12 + -3x = 35 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -3x + 6x = 35 + -6x + 6x Combine like terms: -3x + 6x = 3x 12 + 3x = 35 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 3x = 35 + 0 12 + 3x = 35 Add '-12' to each side of the equation. 12 + -12 + 3x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 35 + -12 3x = 35 + -12 Combine like terms: 35 + -12 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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