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Simplifying 118 + -65x + -123 = 15x + 35 + -120x Reorder the terms: 118 + -123 + -65x = 15x + 35 + -120x Combine like terms: 118 + -123 = -5 -5 + -65x = 15x + 35 + -120x Reorder the terms: -5 + -65x = 35 + 15x + -120x Combine like terms: 15x + -120x = -105x -5 + -65x = 35 + -105x Solving -5 + -65x = 35 + -105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '105x' to each side of the equation. -5 + -65x + 105x = 35 + -105x + 105x Combine like terms: -65x + 105x = 40x -5 + 40x = 35 + -105x + 105x Combine like terms: -105x + 105x = 0 -5 + 40x = 35 + 0 -5 + 40x = 35 Add '5' to each side of the equation. -5 + 5 + 40x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 40x = 35 + 5 40x = 35 + 5 Combine like terms: 35 + 5 = 40 40x = 40 Divide each side by '40'. x = 1 Simplifying x = 1
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