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Simplifying (4y) + (3x + -18) + (3z) + (2x + 12) = 360 Reorder the terms: (4y) + (-18 + 3x) + (3z) + (2x + 12) = 360 Remove parenthesis around (-18 + 3x) (4y) + -18 + 3x + (3z) + (2x + 12) = 360 Reorder the terms: (4y) + -18 + 3x + (3z) + (12 + 2x) = 360 Remove parenthesis around (12 + 2x) (4y) + -18 + 3x + (3z) + 12 + 2x = 360 Reorder the terms: -18 + 12 + 3x + 2x + (4y) + (3z) = 360 Combine like terms: -18 + 12 = -6 -6 + 3x + 2x + (4y) + (3z) = 360 Combine like terms: 3x + 2x = 5x -6 + 5x + (4y) + (3z) = 360 Solving -6 + 5x + (4y) + (3z) = 360 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 + (4y) + 6 + (3z) = 360 + 6 Reorder the terms: -6 + 6 + 5x + (4y) + (3z) = 360 + 6 Combine like terms: -6 + 6 = 0 0 + 5x + (4y) + (3z) = 360 + 6 5x + (4y) + (3z) = 360 + 6 Combine like terms: 360 + 6 = 366 5x + (4y) + (3z) = 366 Add '(-4y)' to each side of the equation. 5x + (4y) + (-4y) + (3z) = 366 + (-4y) Combine like terms: (4y) + (-4y) = 0 5x + 0 + (3z) = 366 + (-4y) 5x + (3z) = 366 + (-4y) Add '(-3z)' to each side of the equation. 5x + (3z) + (-3z) = 366 + (-4y) + (-3z) Combine like terms: (3z) + (-3z) = 0 5x + 0 = 366 + (-4y) + (-3z) 5x = 366 + (-4y) + (-3z) Divide each side by '5'. x = 73.2 + (-0.8y) + (-0.6z) Simplifying x = 73.2 + (-0.8y) + (-0.6z)
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