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Simplifying 7[x + 4] + -9 = 2x + 74 Reorder the terms: 7[4 + x] + -9 = 2x + 74 [4 * 7 + x * 7] + -9 = 2x + 74 [28 + 7x] + -9 = 2x + 74 Reorder the terms: 28 + -9 + 7x = 2x + 74 Combine like terms: 28 + -9 = 19 19 + 7x = 2x + 74 Reorder the terms: 19 + 7x = 74 + 2x Solving 19 + 7x = 74 + 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. 19 + 7x + -2x = 74 + 2x + -2x Combine like terms: 7x + -2x = 5x 19 + 5x = 74 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 5x = 74 + 0 19 + 5x = 74 Add '-19' to each side of the equation. 19 + -19 + 5x = 74 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 74 + -19 5x = 74 + -19 Combine like terms: 74 + -19 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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