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Simplifying 147 = 7(x + 5) + 7x Reorder the terms: 147 = 7(5 + x) + 7x 147 = (5 * 7 + x * 7) + 7x 147 = (35 + 7x) + 7x Combine like terms: 7x + 7x = 14x 147 = 35 + 14x Solving 147 = 35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 147 + -14x = 35 + 14x + -14x Combine like terms: 14x + -14x = 0 147 + -14x = 35 + 0 147 + -14x = 35 Add '-147' to each side of the equation. 147 + -147 + -14x = 35 + -147 Combine like terms: 147 + -147 = 0 0 + -14x = 35 + -147 -14x = 35 + -147 Combine like terms: 35 + -147 = -112 -14x = -112 Divide each side by '-14'. x = 8 Simplifying x = 8
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