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Simplifying 6(x + -5) = 5(x + 7) Reorder the terms: 6(-5 + x) = 5(x + 7) (-5 * 6 + x * 6) = 5(x + 7) (-30 + 6x) = 5(x + 7) Reorder the terms: -30 + 6x = 5(7 + x) -30 + 6x = (7 * 5 + x * 5) -30 + 6x = (35 + 5x) Solving -30 + 6x = 35 + 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. -30 + 6x + -5x = 35 + 5x + -5x Combine like terms: 6x + -5x = 1x -30 + 1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 1x = 35 + 0 -30 + 1x = 35 Add '30' to each side of the equation. -30 + 30 + 1x = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 35 + 30 1x = 35 + 30 Combine like terms: 35 + 30 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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