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Simplifying 2(4x + -1(4)) + 2(3x + 2) = 360 Multiply -1 * 4 2(4x + -4) + 2(3x + 2) = 360 Reorder the terms: 2(-4 + 4x) + 2(3x + 2) = 360 (-4 * 2 + 4x * 2) + 2(3x + 2) = 360 (-8 + 8x) + 2(3x + 2) = 360 Reorder the terms: -8 + 8x + 2(2 + 3x) = 360 -8 + 8x + (2 * 2 + 3x * 2) = 360 -8 + 8x + (4 + 6x) = 360 Reorder the terms: -8 + 4 + 8x + 6x = 360 Combine like terms: -8 + 4 = -4 -4 + 8x + 6x = 360 Combine like terms: 8x + 6x = 14x -4 + 14x = 360 Solving -4 + 14x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 14x = 360 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 360 + 4 14x = 360 + 4 Combine like terms: 360 + 4 = 364 14x = 364 Divide each side by '14'. x = 26 Simplifying x = 26
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