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Simplifying 4(x + 5) + 6(x + -3) = 22 Reorder the terms: 4(5 + x) + 6(x + -3) = 22 (5 * 4 + x * 4) + 6(x + -3) = 22 (20 + 4x) + 6(x + -3) = 22 Reorder the terms: 20 + 4x + 6(-3 + x) = 22 20 + 4x + (-3 * 6 + x * 6) = 22 20 + 4x + (-18 + 6x) = 22 Reorder the terms: 20 + -18 + 4x + 6x = 22 Combine like terms: 20 + -18 = 2 2 + 4x + 6x = 22 Combine like terms: 4x + 6x = 10x 2 + 10x = 22 Solving 2 + 10x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 22 + -2 10x = 22 + -2 Combine like terms: 22 + -2 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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