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Simplifying 6(x + -5) = 5(x + 8) Reorder the terms: 6(-5 + x) = 5(x + 8) (-5 * 6 + x * 6) = 5(x + 8) (-30 + 6x) = 5(x + 8) Reorder the terms: -30 + 6x = 5(8 + x) -30 + 6x = (8 * 5 + x * 5) -30 + 6x = (40 + 5x) Solving -30 + 6x = 40 + 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 = 40 + 5x + -5x Combine like terms: 6x + -5x = 1x -30 + 1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 1x = 40 + 0 -30 + 1x = 40 Add '30' to each side of the equation. -30 + 30 + 1x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 40 + 30 1x = 40 + 30 Combine like terms: 40 + 30 = 70 1x = 70 Divide each side by '1'. x = 70 Simplifying x = 70
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