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Simplifying 4(6 + 7) = 4 * 6 + x * 7 Combine like terms: 6 + 7 = 13 4(13) = 4 * 6 + x * 7 Multiply 4 * 13 52 = 4 * 6 + x * 7 Multiply 4 * 6 52 = 24 + x * 7 Reorder the terms for easier multiplication: 52 = 24 + 7x Solving 52 = 24 + 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. 52 + -7x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -7x = 24 + 0 52 + -7x = 24 Add '-52' to each side of the equation. 52 + -52 + -7x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = 24 + -52 -7x = 24 + -52 Combine like terms: 24 + -52 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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