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Simplifying 9(x + 4) = -2x + 47 Reorder the terms: 9(4 + x) = -2x + 47 (4 * 9 + x * 9) = -2x + 47 (36 + 9x) = -2x + 47 Reorder the terms: 36 + 9x = 47 + -2x Solving 36 + 9x = 47 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 36 + 9x + 2x = 47 + -2x + 2x Combine like terms: 9x + 2x = 11x 36 + 11x = 47 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 11x = 47 + 0 36 + 11x = 47 Add '-36' to each side of the equation. 36 + -36 + 11x = 47 + -36 Combine like terms: 36 + -36 = 0 0 + 11x = 47 + -36 11x = 47 + -36 Combine like terms: 47 + -36 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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