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Simplifying 3x + 40 = 2x + 118 Reorder the terms: 40 + 3x = 2x + 118 Reorder the terms: 40 + 3x = 118 + 2x Solving 40 + 3x = 118 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 3x + -2x = 118 + 2x + -2x Combine like terms: 3x + -2x = 1x 40 + 1x = 118 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 1x = 118 + 0 40 + 1x = 118 Add '-40' to each side of the equation. 40 + -40 + 1x = 118 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 118 + -40 1x = 118 + -40 Combine like terms: 118 + -40 = 78 1x = 78 Divide each side by '1'. x = 78 Simplifying x = 78
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