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Simplifying 6x + -18 + -12x + 60 = 3x + 3 + -8x + 17 Reorder the terms: -18 + 60 + 6x + -12x = 3x + 3 + -8x + 17 Combine like terms: -18 + 60 = 42 42 + 6x + -12x = 3x + 3 + -8x + 17 Combine like terms: 6x + -12x = -6x 42 + -6x = 3x + 3 + -8x + 17 Reorder the terms: 42 + -6x = 3 + 17 + 3x + -8x Combine like terms: 3 + 17 = 20 42 + -6x = 20 + 3x + -8x Combine like terms: 3x + -8x = -5x 42 + -6x = 20 + -5x Solving 42 + -6x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 42 + -6x + 5x = 20 + -5x + 5x Combine like terms: -6x + 5x = -1x 42 + -1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + -1x = 20 + 0 42 + -1x = 20 Add '-42' to each side of the equation. 42 + -42 + -1x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 20 + -42 -1x = 20 + -42 Combine like terms: 20 + -42 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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