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Simplifying 3(2x + 2) + -2(2x + 2) + 4(2x + 2) = 50 Reorder the terms: 3(2 + 2x) + -2(2x + 2) + 4(2x + 2) = 50 (2 * 3 + 2x * 3) + -2(2x + 2) + 4(2x + 2) = 50 (6 + 6x) + -2(2x + 2) + 4(2x + 2) = 50 Reorder the terms: 6 + 6x + -2(2 + 2x) + 4(2x + 2) = 50 6 + 6x + (2 * -2 + 2x * -2) + 4(2x + 2) = 50 6 + 6x + (-4 + -4x) + 4(2x + 2) = 50 Reorder the terms: 6 + 6x + -4 + -4x + 4(2 + 2x) = 50 6 + 6x + -4 + -4x + (2 * 4 + 2x * 4) = 50 6 + 6x + -4 + -4x + (8 + 8x) = 50 Reorder the terms: 6 + -4 + 8 + 6x + -4x + 8x = 50 Combine like terms: 6 + -4 = 2 2 + 8 + 6x + -4x + 8x = 50 Combine like terms: 2 + 8 = 10 10 + 6x + -4x + 8x = 50 Combine like terms: 6x + -4x = 2x 10 + 2x + 8x = 50 Combine like terms: 2x + 8x = 10x 10 + 10x = 50 Solving 10 + 10x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 10x = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 50 + -10 10x = 50 + -10 Combine like terms: 50 + -10 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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