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Simplifying 10(4) = (5 + x) * 6 Multiply 10 * 4 40 = (5 + x) * 6 Reorder the terms for easier multiplication: 40 = 6(5 + x) 40 = (5 * 6 + x * 6) 40 = (30 + 6x) Solving 40 = 30 + 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 + -6x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -6x = 30 + 0 40 + -6x = 30 Add '-40' to each side of the equation. 40 + -40 + -6x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = 30 + -40 -6x = 30 + -40 Combine like terms: 30 + -40 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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