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Simplifying 83 = 4(1 + 6x) + 7 83 = (1 * 4 + 6x * 4) + 7 83 = (4 + 24x) + 7 Reorder the terms: 83 = 4 + 7 + 24x Combine like terms: 4 + 7 = 11 83 = 11 + 24x Solving 83 = 11 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 83 + -24x = 11 + 24x + -24x Combine like terms: 24x + -24x = 0 83 + -24x = 11 + 0 83 + -24x = 11 Add '-83' to each side of the equation. 83 + -83 + -24x = 11 + -83 Combine like terms: 83 + -83 = 0 0 + -24x = 11 + -83 -24x = 11 + -83 Combine like terms: 11 + -83 = -72 -24x = -72 Divide each side by '-24'. x = 3 Simplifying x = 3
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