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Simplifying 5(3x + 6) = 4(5x + -2) Reorder the terms: 5(6 + 3x) = 4(5x + -2) (6 * 5 + 3x * 5) = 4(5x + -2) (30 + 15x) = 4(5x + -2) Reorder the terms: 30 + 15x = 4(-2 + 5x) 30 + 15x = (-2 * 4 + 5x * 4) 30 + 15x = (-8 + 20x) Solving 30 + 15x = -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 + 15x + -20x = -8 + 20x + -20x Combine like terms: 15x + -20x = -5x 30 + -5x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -5x = -8 + 0 30 + -5x = -8 Add '-30' to each side of the equation. 30 + -30 + -5x = -8 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = -8 + -30 -5x = -8 + -30 Combine like terms: -8 + -30 = -38 -5x = -38 Divide each side by '-5'. x = 7.6 Simplifying x = 7.6
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