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Simplifying 35x + -2(x + -39) = 48 + 3x Reorder the terms: 35x + -2(-39 + x) = 48 + 3x 35x + (-39 * -2 + x * -2) = 48 + 3x 35x + (78 + -2x) = 48 + 3x Reorder the terms: 78 + 35x + -2x = 48 + 3x Combine like terms: 35x + -2x = 33x 78 + 33x = 48 + 3x Solving 78 + 33x = 48 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 78 + 33x + -3x = 48 + 3x + -3x Combine like terms: 33x + -3x = 30x 78 + 30x = 48 + 3x + -3x Combine like terms: 3x + -3x = 0 78 + 30x = 48 + 0 78 + 30x = 48 Add '-78' to each side of the equation. 78 + -78 + 30x = 48 + -78 Combine like terms: 78 + -78 = 0 0 + 30x = 48 + -78 30x = 48 + -78 Combine like terms: 48 + -78 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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