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Simplifying 2(3x + -2) + 2(2x + -3) = 180 Reorder the terms: 2(-2 + 3x) + 2(2x + -3) = 180 (-2 * 2 + 3x * 2) + 2(2x + -3) = 180 (-4 + 6x) + 2(2x + -3) = 180 Reorder the terms: -4 + 6x + 2(-3 + 2x) = 180 -4 + 6x + (-3 * 2 + 2x * 2) = 180 -4 + 6x + (-6 + 4x) = 180 Reorder the terms: -4 + -6 + 6x + 4x = 180 Combine like terms: -4 + -6 = -10 -10 + 6x + 4x = 180 Combine like terms: 6x + 4x = 10x -10 + 10x = 180 Solving -10 + 10x = 180 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 = 180 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 180 + 10 10x = 180 + 10 Combine like terms: 180 + 10 = 190 10x = 190 Divide each side by '10'. x = 19 Simplifying x = 19
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