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Simplifying 5(6x + 8) = 10(7x + 6) Reorder the terms: 5(8 + 6x) = 10(7x + 6) (8 * 5 + 6x * 5) = 10(7x + 6) (40 + 30x) = 10(7x + 6) Reorder the terms: 40 + 30x = 10(6 + 7x) 40 + 30x = (6 * 10 + 7x * 10) 40 + 30x = (60 + 70x) Solving 40 + 30x = 60 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 40 + 30x + -70x = 60 + 70x + -70x Combine like terms: 30x + -70x = -40x 40 + -40x = 60 + 70x + -70x Combine like terms: 70x + -70x = 0 40 + -40x = 60 + 0 40 + -40x = 60 Add '-40' to each side of the equation. 40 + -40 + -40x = 60 + -40 Combine like terms: 40 + -40 = 0 0 + -40x = 60 + -40 -40x = 60 + -40 Combine like terms: 60 + -40 = 20 -40x = 20 Divide each side by '-40'. x = -0.5 Simplifying x = -0.5
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