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Simplifying 5(2x + 6) = 4(2x + 5) + 3x Reorder the terms: 5(6 + 2x) = 4(2x + 5) + 3x (6 * 5 + 2x * 5) = 4(2x + 5) + 3x (30 + 10x) = 4(2x + 5) + 3x Reorder the terms: 30 + 10x = 4(5 + 2x) + 3x 30 + 10x = (5 * 4 + 2x * 4) + 3x 30 + 10x = (20 + 8x) + 3x Combine like terms: 8x + 3x = 11x 30 + 10x = 20 + 11x Solving 30 + 10x = 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 + 10x + -11x = 20 + 11x + -11x Combine like terms: 10x + -11x = -1x 30 + -1x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + -1x = 20 + 0 30 + -1x = 20 Add '-30' to each side of the equation. 30 + -30 + -1x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 20 + -30 -1x = 20 + -30 Combine like terms: 20 + -30 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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