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Simplifying 4x + 5 + -10x = 8 + 3x + 12 Reorder the terms: 5 + 4x + -10x = 8 + 3x + 12 Combine like terms: 4x + -10x = -6x 5 + -6x = 8 + 3x + 12 Reorder the terms: 5 + -6x = 8 + 12 + 3x Combine like terms: 8 + 12 = 20 5 + -6x = 20 + 3x Solving 5 + -6x = 20 + 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. 5 + -6x + -3x = 20 + 3x + -3x Combine like terms: -6x + -3x = -9x 5 + -9x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -9x = 20 + 0 5 + -9x = 20 Add '-5' to each side of the equation. 5 + -5 + -9x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 20 + -5 -9x = 20 + -5 Combine like terms: 20 + -5 = 15 -9x = 15 Divide each side by '-9'. x = -1.666666667 Simplifying x = -1.666666667
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