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Simplifying 34 + 18 = x + 5 + -5 + -1(-25) Combine like terms: 34 + 18 = 52 52 = x + 5 + -5 + -1(-25) Multiply -1 * -25 52 = x + 5 + -5 + 25 Reorder the terms: 52 = 5 + -5 + 25 + x Combine like terms: 5 + -5 = 0 52 = 0 + 25 + x 52 = 25 + x Solving 52 = 25 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 52 + -1x = 25 + x + -1x Combine like terms: x + -1x = 0 52 + -1x = 25 + 0 52 + -1x = 25 Add '-52' to each side of the equation. 52 + -52 + -1x = 25 + -52 Combine like terms: 52 + -52 = 0 0 + -1x = 25 + -52 -1x = 25 + -52 Combine like terms: 25 + -52 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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