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Simplifying 78 = (x + 3) + x + (2x + -5) Reorder the terms: 78 = (3 + x) + x + (2x + -5) Remove parenthesis around (3 + x) 78 = 3 + x + x + (2x + -5) Reorder the terms: 78 = 3 + x + x + (-5 + 2x) Remove parenthesis around (-5 + 2x) 78 = 3 + x + x + -5 + 2x Reorder the terms: 78 = 3 + -5 + x + x + 2x Combine like terms: 3 + -5 = -2 78 = -2 + x + x + 2x Combine like terms: x + x = 2x 78 = -2 + 2x + 2x Combine like terms: 2x + 2x = 4x 78 = -2 + 4x Solving 78 = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 78 + -4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + -4x = -2 + 0 78 + -4x = -2 Add '-78' to each side of the equation. 78 + -78 + -4x = -2 + -78 Combine like terms: 78 + -78 = 0 0 + -4x = -2 + -78 -4x = -2 + -78 Combine like terms: -2 + -78 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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