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Simplifying 24 + x + 23 = 2x + 78 Reorder the terms: 24 + 23 + x = 2x + 78 Combine like terms: 24 + 23 = 47 47 + x = 2x + 78 Reorder the terms: 47 + x = 78 + 2x Solving 47 + x = 78 + 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. 47 + x + -2x = 78 + 2x + -2x Combine like terms: x + -2x = -1x 47 + -1x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 47 + -1x = 78 + 0 47 + -1x = 78 Add '-47' to each side of the equation. 47 + -47 + -1x = 78 + -47 Combine like terms: 47 + -47 = 0 0 + -1x = 78 + -47 -1x = 78 + -47 Combine like terms: 78 + -47 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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