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Simplifying 6(5x + 5) = 4(5x + -2) Reorder the terms: 6(5 + 5x) = 4(5x + -2) (5 * 6 + 5x * 6) = 4(5x + -2) (30 + 30x) = 4(5x + -2) Reorder the terms: 30 + 30x = 4(-2 + 5x) 30 + 30x = (-2 * 4 + 5x * 4) 30 + 30x = (-8 + 20x) Solving 30 + 30x = -8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 30 + 30x + -20x = -8 + 20x + -20x Combine like terms: 30x + -20x = 10x 30 + 10x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + 10x = -8 + 0 30 + 10x = -8 Add '-30' to each side of the equation. 30 + -30 + 10x = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = -8 + -30 10x = -8 + -30 Combine like terms: -8 + -30 = -38 10x = -38 Divide each side by '10'. x = -3.8 Simplifying x = -3.8
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