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Simplifying 4(2x + 2) + 2(x + -3) = 50 Reorder the terms: 4(2 + 2x) + 2(x + -3) = 50 (2 * 4 + 2x * 4) + 2(x + -3) = 50 (8 + 8x) + 2(x + -3) = 50 Reorder the terms: 8 + 8x + 2(-3 + x) = 50 8 + 8x + (-3 * 2 + x * 2) = 50 8 + 8x + (-6 + 2x) = 50 Reorder the terms: 8 + -6 + 8x + 2x = 50 Combine like terms: 8 + -6 = 2 2 + 8x + 2x = 50 Combine like terms: 8x + 2x = 10x 2 + 10x = 50 Solving 2 + 10x = 50 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 = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 50 + -2 10x = 50 + -2 Combine like terms: 50 + -2 = 48 10x = 48 Divide each side by '10'. x = 4.8 Simplifying x = 4.8
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