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Simplifying 10x + 5 + 8 = 12x + -3x + 80 Reorder the terms: 5 + 8 + 10x = 12x + -3x + 80 Combine like terms: 5 + 8 = 13 13 + 10x = 12x + -3x + 80 Reorder the terms: 13 + 10x = 80 + 12x + -3x Combine like terms: 12x + -3x = 9x 13 + 10x = 80 + 9x Solving 13 + 10x = 80 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + 10x + -9x = 80 + 9x + -9x Combine like terms: 10x + -9x = 1x 13 + 1x = 80 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + 1x = 80 + 0 13 + 1x = 80 Add '-13' to each side of the equation. 13 + -13 + 1x = 80 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 80 + -13 1x = 80 + -13 Combine like terms: 80 + -13 = 67 1x = 67 Divide each side by '1'. x = 67 Simplifying x = 67
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