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Simplifying 8(7x + -3) = 2(8x + 5) Reorder the terms: 8(-3 + 7x) = 2(8x + 5) (-3 * 8 + 7x * 8) = 2(8x + 5) (-24 + 56x) = 2(8x + 5) Reorder the terms: -24 + 56x = 2(5 + 8x) -24 + 56x = (5 * 2 + 8x * 2) -24 + 56x = (10 + 16x) Solving -24 + 56x = 10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 56x + -16x = 10 + 16x + -16x Combine like terms: 56x + -16x = 40x -24 + 40x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + 40x = 10 + 0 -24 + 40x = 10 Add '24' to each side of the equation. -24 + 24 + 40x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 40x = 10 + 24 40x = 10 + 24 Combine like terms: 10 + 24 = 34 40x = 34 Divide each side by '40'. x = 0.85 Simplifying x = 0.85
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