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Simplifying 5(3x + 6) = 4(5 + 2x) + 3x Reorder the terms: 5(6 + 3x) = 4(5 + 2x) + 3x (6 * 5 + 3x * 5) = 4(5 + 2x) + 3x (30 + 15x) = 4(5 + 2x) + 3x 30 + 15x = (5 * 4 + 2x * 4) + 3x 30 + 15x = (20 + 8x) + 3x Combine like terms: 8x + 3x = 11x 30 + 15x = 20 + 11x Solving 30 + 15x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 30 + 15x + -11x = 20 + 11x + -11x Combine like terms: 15x + -11x = 4x 30 + 4x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + 4x = 20 + 0 30 + 4x = 20 Add '-30' to each side of the equation. 30 + -30 + 4x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 20 + -30 4x = 20 + -30 Combine like terms: 20 + -30 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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