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Simplifying 7(x + -15) = 35(x + 4) Reorder the terms: 7(-15 + x) = 35(x + 4) (-15 * 7 + x * 7) = 35(x + 4) (-105 + 7x) = 35(x + 4) Reorder the terms: -105 + 7x = 35(4 + x) -105 + 7x = (4 * 35 + x * 35) -105 + 7x = (140 + 35x) Solving -105 + 7x = 140 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -105 + 7x + -35x = 140 + 35x + -35x Combine like terms: 7x + -35x = -28x -105 + -28x = 140 + 35x + -35x Combine like terms: 35x + -35x = 0 -105 + -28x = 140 + 0 -105 + -28x = 140 Add '105' to each side of the equation. -105 + 105 + -28x = 140 + 105 Combine like terms: -105 + 105 = 0 0 + -28x = 140 + 105 -28x = 140 + 105 Combine like terms: 140 + 105 = 245 -28x = 245 Divide each side by '-28'. x = -8.75 Simplifying x = -8.75
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