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Simplifying 6(x + -30) = 5(x + 25) Reorder the terms: 6(-30 + x) = 5(x + 25) (-30 * 6 + x * 6) = 5(x + 25) (-180 + 6x) = 5(x + 25) Reorder the terms: -180 + 6x = 5(25 + x) -180 + 6x = (25 * 5 + x * 5) -180 + 6x = (125 + 5x) Solving -180 + 6x = 125 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -180 + 6x + -5x = 125 + 5x + -5x Combine like terms: 6x + -5x = 1x -180 + 1x = 125 + 5x + -5x Combine like terms: 5x + -5x = 0 -180 + 1x = 125 + 0 -180 + 1x = 125 Add '180' to each side of the equation. -180 + 180 + 1x = 125 + 180 Combine like terms: -180 + 180 = 0 0 + 1x = 125 + 180 1x = 125 + 180 Combine like terms: 125 + 180 = 305 1x = 305 Divide each side by '1'. x = 305 Simplifying x = 305
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