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Simplifying 4(x + 5) + 3(x + -2) = 49 Reorder the terms: 4(5 + x) + 3(x + -2) = 49 (5 * 4 + x * 4) + 3(x + -2) = 49 (20 + 4x) + 3(x + -2) = 49 Reorder the terms: 20 + 4x + 3(-2 + x) = 49 20 + 4x + (-2 * 3 + x * 3) = 49 20 + 4x + (-6 + 3x) = 49 Reorder the terms: 20 + -6 + 4x + 3x = 49 Combine like terms: 20 + -6 = 14 14 + 4x + 3x = 49 Combine like terms: 4x + 3x = 7x 14 + 7x = 49 Solving 14 + 7x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 49 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 49 + -14 7x = 49 + -14 Combine like terms: 49 + -14 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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