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Simplifying 6(x + -5) = 1(x + 25) Reorder the terms: 6(-5 + x) = 1(x + 25) (-5 * 6 + x * 6) = 1(x + 25) (-30 + 6x) = 1(x + 25) Reorder the terms: -30 + 6x = 1(25 + x) -30 + 6x = (25 * 1 + x * 1) -30 + 6x = (25 + 1x) Solving -30 + 6x = 25 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + 6x + -1x = 25 + 1x + -1x Combine like terms: 6x + -1x = 5x -30 + 5x = 25 + 1x + -1x Combine like terms: 1x + -1x = 0 -30 + 5x = 25 + 0 -30 + 5x = 25 Add '30' to each side of the equation. -30 + 30 + 5x = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 25 + 30 5x = 25 + 30 Combine like terms: 25 + 30 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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