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Simplifying 115 = 2x + 7(4x + -5) Reorder the terms: 115 = 2x + 7(-5 + 4x) 115 = 2x + (-5 * 7 + 4x * 7) 115 = 2x + (-35 + 28x) Reorder the terms: 115 = -35 + 2x + 28x Combine like terms: 2x + 28x = 30x 115 = -35 + 30x Solving 115 = -35 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 115 + -30x = -35 + 30x + -30x Combine like terms: 30x + -30x = 0 115 + -30x = -35 + 0 115 + -30x = -35 Add '-115' to each side of the equation. 115 + -115 + -30x = -35 + -115 Combine like terms: 115 + -115 = 0 0 + -30x = -35 + -115 -30x = -35 + -115 Combine like terms: -35 + -115 = -150 -30x = -150 Divide each side by '-30'. x = 5 Simplifying x = 5
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