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Simplifying 8x + -2 + 4x + 10 = 3 + 2x + x + 20 Reorder the terms: -2 + 10 + 8x + 4x = 3 + 2x + x + 20 Combine like terms: -2 + 10 = 8 8 + 8x + 4x = 3 + 2x + x + 20 Combine like terms: 8x + 4x = 12x 8 + 12x = 3 + 2x + x + 20 Reorder the terms: 8 + 12x = 3 + 20 + 2x + x Combine like terms: 3 + 20 = 23 8 + 12x = 23 + 2x + x Combine like terms: 2x + x = 3x 8 + 12x = 23 + 3x Solving 8 + 12x = 23 + 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. 8 + 12x + -3x = 23 + 3x + -3x Combine like terms: 12x + -3x = 9x 8 + 9x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 9x = 23 + 0 8 + 9x = 23 Add '-8' to each side of the equation. 8 + -8 + 9x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 23 + -8 9x = 23 + -8 Combine like terms: 23 + -8 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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