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Simplifying 35 + -22x + -6 + -18x = 14 + -30x + 32 Reorder the terms: 35 + -6 + -22x + -18x = 14 + -30x + 32 Combine like terms: 35 + -6 = 29 29 + -22x + -18x = 14 + -30x + 32 Combine like terms: -22x + -18x = -40x 29 + -40x = 14 + -30x + 32 Reorder the terms: 29 + -40x = 14 + 32 + -30x Combine like terms: 14 + 32 = 46 29 + -40x = 46 + -30x Solving 29 + -40x = 46 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 29 + -40x + 30x = 46 + -30x + 30x Combine like terms: -40x + 30x = -10x 29 + -10x = 46 + -30x + 30x Combine like terms: -30x + 30x = 0 29 + -10x = 46 + 0 29 + -10x = 46 Add '-29' to each side of the equation. 29 + -29 + -10x = 46 + -29 Combine like terms: 29 + -29 = 0 0 + -10x = 46 + -29 -10x = 46 + -29 Combine like terms: 46 + -29 = 17 -10x = 17 Divide each side by '-10'. x = -1.7 Simplifying x = -1.7
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