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Simplifying 3(1 + X) + 2(X + -5) + x + 1 = 180 (1 * 3 + X * 3) + 2(X + -5) + x + 1 = 180 (3 + 3X) + 2(X + -5) + x + 1 = 180 Reorder the terms: 3 + 3X + 2(-5 + X) + x + 1 = 180 3 + 3X + (-5 * 2 + X * 2) + x + 1 = 180 3 + 3X + (-10 + 2X) + x + 1 = 180 Reorder the terms: 3 + -10 + 1 + 3X + 2X + x = 180 Combine like terms: 3 + -10 = -7 -7 + 1 + 3X + 2X + x = 180 Combine like terms: -7 + 1 = -6 -6 + 3X + 2X + x = 180 Combine like terms: 3X + 2X = 5X -6 + 5X + x = 180 Solving -6 + 5X + x = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5X + 6 + x = 180 + 6 Reorder the terms: -6 + 6 + 5X + x = 180 + 6 Combine like terms: -6 + 6 = 0 0 + 5X + x = 180 + 6 5X + x = 180 + 6 Combine like terms: 180 + 6 = 186 5X + x = 186 Add '-1x' to each side of the equation. 5X + x + -1x = 186 + -1x Combine like terms: x + -1x = 0 5X + 0 = 186 + -1x 5X = 186 + -1x Divide each side by '5'. X = 37.2 + -0.2x Simplifying X = 37.2 + -0.2x
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