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Simplifying 8(7x + -9) = 5(3x + 8) Reorder the terms: 8(-9 + 7x) = 5(3x + 8) (-9 * 8 + 7x * 8) = 5(3x + 8) (-72 + 56x) = 5(3x + 8) Reorder the terms: -72 + 56x = 5(8 + 3x) -72 + 56x = (8 * 5 + 3x * 5) -72 + 56x = (40 + 15x) Solving -72 + 56x = 40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -72 + 56x + -15x = 40 + 15x + -15x Combine like terms: 56x + -15x = 41x -72 + 41x = 40 + 15x + -15x Combine like terms: 15x + -15x = 0 -72 + 41x = 40 + 0 -72 + 41x = 40 Add '72' to each side of the equation. -72 + 72 + 41x = 40 + 72 Combine like terms: -72 + 72 = 0 0 + 41x = 40 + 72 41x = 40 + 72 Combine like terms: 40 + 72 = 112 41x = 112 Divide each side by '41'. x = 2.731707317 Simplifying x = 2.731707317
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