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Simplifying ((3x + 7) * 2) + ((4x + -2) * 2) = 360 Reorder the terms: ((7 + 3x) * 2) + ((4x + -2) * 2) = 360 Reorder the terms for easier multiplication: (2(7 + 3x)) + ((4x + -2) * 2) = 360 ((7 * 2 + 3x * 2)) + ((4x + -2) * 2) = 360 ((14 + 6x)) + ((4x + -2) * 2) = 360 (14 + 6x) + ((4x + -2) * 2) = 360 Remove parenthesis around (14 + 6x) 14 + 6x + ((4x + -2) * 2) = 360 Reorder the terms: 14 + 6x + ((-2 + 4x) * 2) = 360 Reorder the terms for easier multiplication: 14 + 6x + (2(-2 + 4x)) = 360 14 + 6x + ((-2 * 2 + 4x * 2)) = 360 14 + 6x + ((-4 + 8x)) = 360 14 + 6x + (-4 + 8x) = 360 Remove parenthesis around (-4 + 8x) 14 + 6x + -4 + 8x = 360 Reorder the terms: 14 + -4 + 6x + 8x = 360 Combine like terms: 14 + -4 = 10 10 + 6x + 8x = 360 Combine like terms: 6x + 8x = 14x 10 + 14x = 360 Solving 10 + 14x = 360 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 + 14x = 360 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 360 + -10 14x = 360 + -10 Combine like terms: 360 + -10 = 350 14x = 350 Divide each side by '14'. x = 25 Simplifying x = 25
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