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Simplifying 6(5x + -5) = 3(6x + 5) Reorder the terms: 6(-5 + 5x) = 3(6x + 5) (-5 * 6 + 5x * 6) = 3(6x + 5) (-30 + 30x) = 3(6x + 5) Reorder the terms: -30 + 30x = 3(5 + 6x) -30 + 30x = (5 * 3 + 6x * 3) -30 + 30x = (15 + 18x) Solving -30 + 30x = 15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -30 + 30x + -18x = 15 + 18x + -18x Combine like terms: 30x + -18x = 12x -30 + 12x = 15 + 18x + -18x Combine like terms: 18x + -18x = 0 -30 + 12x = 15 + 0 -30 + 12x = 15 Add '30' to each side of the equation. -30 + 30 + 12x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 15 + 30 12x = 15 + 30 Combine like terms: 15 + 30 = 45 12x = 45 Divide each side by '12'. x = 3.75 Simplifying x = 3.75
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