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Simplifying 20x + 8(2x + 5) = 12(x + 3) + 28 Reorder the terms: 20x + 8(5 + 2x) = 12(x + 3) + 28 20x + (5 * 8 + 2x * 8) = 12(x + 3) + 28 20x + (40 + 16x) = 12(x + 3) + 28 Reorder the terms: 40 + 20x + 16x = 12(x + 3) + 28 Combine like terms: 20x + 16x = 36x 40 + 36x = 12(x + 3) + 28 Reorder the terms: 40 + 36x = 12(3 + x) + 28 40 + 36x = (3 * 12 + x * 12) + 28 40 + 36x = (36 + 12x) + 28 Reorder the terms: 40 + 36x = 36 + 28 + 12x Combine like terms: 36 + 28 = 64 40 + 36x = 64 + 12x Solving 40 + 36x = 64 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 36x + -12x = 64 + 12x + -12x Combine like terms: 36x + -12x = 24x 40 + 24x = 64 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + 24x = 64 + 0 40 + 24x = 64 Add '-40' to each side of the equation. 40 + -40 + 24x = 64 + -40 Combine like terms: 40 + -40 = 0 0 + 24x = 64 + -40 24x = 64 + -40 Combine like terms: 64 + -40 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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