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Simplifying 4(7 + 3x) + -5(2 + x) = 46 (7 * 4 + 3x * 4) + -5(2 + x) = 46 (28 + 12x) + -5(2 + x) = 46 28 + 12x + (2 * -5 + x * -5) = 46 28 + 12x + (-10 + -5x) = 46 Reorder the terms: 28 + -10 + 12x + -5x = 46 Combine like terms: 28 + -10 = 18 18 + 12x + -5x = 46 Combine like terms: 12x + -5x = 7x 18 + 7x = 46 Solving 18 + 7x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7x = 46 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 46 + -18 7x = 46 + -18 Combine like terms: 46 + -18 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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