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Simplifying 12x + -3 + -20x + 4 = 10x + -17 Reorder the terms: -3 + 4 + 12x + -20x = 10x + -17 Combine like terms: -3 + 4 = 1 1 + 12x + -20x = 10x + -17 Combine like terms: 12x + -20x = -8x 1 + -8x = 10x + -17 Reorder the terms: 1 + -8x = -17 + 10x Solving 1 + -8x = -17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + -8x + -10x = -17 + 10x + -10x Combine like terms: -8x + -10x = -18x 1 + -18x = -17 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -18x = -17 + 0 1 + -18x = -17 Add '-1' to each side of the equation. 1 + -1 + -18x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -18x = -17 + -1 -18x = -17 + -1 Combine like terms: -17 + -1 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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