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Simplifying 8(5x + -4) + 4 = 2(10x + 6) Reorder the terms: 8(-4 + 5x) + 4 = 2(10x + 6) (-4 * 8 + 5x * 8) + 4 = 2(10x + 6) (-32 + 40x) + 4 = 2(10x + 6) Reorder the terms: -32 + 4 + 40x = 2(10x + 6) Combine like terms: -32 + 4 = -28 -28 + 40x = 2(10x + 6) Reorder the terms: -28 + 40x = 2(6 + 10x) -28 + 40x = (6 * 2 + 10x * 2) -28 + 40x = (12 + 20x) Solving -28 + 40x = 12 + 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. -28 + 40x + -20x = 12 + 20x + -20x Combine like terms: 40x + -20x = 20x -28 + 20x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 -28 + 20x = 12 + 0 -28 + 20x = 12 Add '28' to each side of the equation. -28 + 28 + 20x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 20x = 12 + 28 20x = 12 + 28 Combine like terms: 12 + 28 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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