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Simplifying 4(x + 7) = 18x Reorder the terms: 4(7 + x) = 18x (7 * 4 + x * 4) = 18x (28 + 4x) = 18x Solving 28 + 4x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 28 + 4x + -18x = 18x + -18x Combine like terms: 4x + -18x = -14x 28 + -14x = 18x + -18x Combine like terms: 18x + -18x = 0 28 + -14x = 0 Add '-28' to each side of the equation. 28 + -28 + -14x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -14x = 0 + -28 -14x = 0 + -28 Combine like terms: 0 + -28 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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