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Simplifying 24x = 7(x + 6) Reorder the terms: 24x = 7(6 + x) 24x = (6 * 7 + x * 7) 24x = (42 + 7x) Solving 24x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24x + -7x = 42 + 7x + -7x Combine like terms: 24x + -7x = 17x 17x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 17x = 42 + 0 17x = 42 Divide each side by '17'. x = 2.470588235 Simplifying x = 2.470588235
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