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Simplifying 6(5x + -5) + 4(15 + -5x) = 3(3x + 4) + -10 Reorder the terms: 6(-5 + 5x) + 4(15 + -5x) = 3(3x + 4) + -10 (-5 * 6 + 5x * 6) + 4(15 + -5x) = 3(3x + 4) + -10 (-30 + 30x) + 4(15 + -5x) = 3(3x + 4) + -10 -30 + 30x + (15 * 4 + -5x * 4) = 3(3x + 4) + -10 -30 + 30x + (60 + -20x) = 3(3x + 4) + -10 Reorder the terms: -30 + 60 + 30x + -20x = 3(3x + 4) + -10 Combine like terms: -30 + 60 = 30 30 + 30x + -20x = 3(3x + 4) + -10 Combine like terms: 30x + -20x = 10x 30 + 10x = 3(3x + 4) + -10 Reorder the terms: 30 + 10x = 3(4 + 3x) + -10 30 + 10x = (4 * 3 + 3x * 3) + -10 30 + 10x = (12 + 9x) + -10 Reorder the terms: 30 + 10x = 12 + -10 + 9x Combine like terms: 12 + -10 = 2 30 + 10x = 2 + 9x Solving 30 + 10x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 10x + -9x = 2 + 9x + -9x Combine like terms: 10x + -9x = 1x 30 + 1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + 1x = 2 + 0 30 + 1x = 2 Add '-30' to each side of the equation. 30 + -30 + 1x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 2 + -30 1x = 2 + -30 Combine like terms: 2 + -30 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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