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Simplifying 5(8 + 6x) = 6x + 10 (8 * 5 + 6x * 5) = 6x + 10 (40 + 30x) = 6x + 10 Reorder the terms: 40 + 30x = 10 + 6x Solving 40 + 30x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + 30x + -6x = 10 + 6x + -6x Combine like terms: 30x + -6x = 24x 40 + 24x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 24x = 10 + 0 40 + 24x = 10 Add '-40' to each side of the equation. 40 + -40 + 24x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 24x = 10 + -40 24x = 10 + -40 Combine like terms: 10 + -40 = -30 24x = -30 Divide each side by '24'. x = -1.25 Simplifying x = -1.25
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