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Simplifying 78 + -24 = 7 + x + 28 Combine like terms: 78 + -24 = 54 54 = 7 + x + 28 Reorder the terms: 54 = 7 + 28 + x Combine like terms: 7 + 28 = 35 54 = 35 + x Solving 54 = 35 + 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. 54 + -1x = 35 + x + -1x Combine like terms: x + -1x = 0 54 + -1x = 35 + 0 54 + -1x = 35 Add '-54' to each side of the equation. 54 + -54 + -1x = 35 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = 35 + -54 -1x = 35 + -54 Combine like terms: 35 + -54 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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