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Simplifying 2(3x + 18) + 2(4x + -3) = 360 Reorder the terms: 2(18 + 3x) + 2(4x + -3) = 360 (18 * 2 + 3x * 2) + 2(4x + -3) = 360 (36 + 6x) + 2(4x + -3) = 360 Reorder the terms: 36 + 6x + 2(-3 + 4x) = 360 36 + 6x + (-3 * 2 + 4x * 2) = 360 36 + 6x + (-6 + 8x) = 360 Reorder the terms: 36 + -6 + 6x + 8x = 360 Combine like terms: 36 + -6 = 30 30 + 6x + 8x = 360 Combine like terms: 6x + 8x = 14x 30 + 14x = 360 Solving 30 + 14x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 14x = 360 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 360 + -30 14x = 360 + -30 Combine like terms: 360 + -30 = 330 14x = 330 Divide each side by '14'. x = 23.57142857 Simplifying x = 23.57142857
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