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Simplifying 7(x + 4) + -8 = 2x + 74 Reorder the terms: 7(4 + x) + -8 = 2x + 74 (4 * 7 + x * 7) + -8 = 2x + 74 (28 + 7x) + -8 = 2x + 74 Reorder the terms: 28 + -8 + 7x = 2x + 74 Combine like terms: 28 + -8 = 20 20 + 7x = 2x + 74 Reorder the terms: 20 + 7x = 74 + 2x Solving 20 + 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. 20 + 7x + -2x = 74 + 2x + -2x Combine like terms: 7x + -2x = 5x 20 + 5x = 74 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 5x = 74 + 0 20 + 5x = 74 Add '-20' to each side of the equation. 20 + -20 + 5x = 74 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 74 + -20 5x = 74 + -20 Combine like terms: 74 + -20 = 54 5x = 54 Divide each side by '5'. x = 10.8 Simplifying x = 10.8
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