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Simplifying 4x + -2 + 2(x + 3) + 2(2x + -2) = 180 Reorder the terms: 4x + -2 + 2(3 + x) + 2(2x + -2) = 180 4x + -2 + (3 * 2 + x * 2) + 2(2x + -2) = 180 4x + -2 + (6 + 2x) + 2(2x + -2) = 180 Reorder the terms: 4x + -2 + 6 + 2x + 2(-2 + 2x) = 180 4x + -2 + 6 + 2x + (-2 * 2 + 2x * 2) = 180 4x + -2 + 6 + 2x + (-4 + 4x) = 180 Reorder the terms: -2 + 6 + -4 + 4x + 2x + 4x = 180 Combine like terms: -2 + 6 = 4 4 + -4 + 4x + 2x + 4x = 180 Combine like terms: 4 + -4 = 0 0 + 4x + 2x + 4x = 180 4x + 2x + 4x = 180 Combine like terms: 4x + 2x = 6x 6x + 4x = 180 Combine like terms: 6x + 4x = 10x 10x = 180 Solving 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '10'. x = 18 Simplifying x = 18
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