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Simplifying 6x + -3(60 + 4z + -5x) + -2z = -52 Reorder the terms: 6x + -3(60 + -5x + 4z) + -2z = -52 6x + (60 * -3 + -5x * -3 + 4z * -3) + -2z = -52 6x + (-180 + 15x + -12z) + -2z = -52 Reorder the terms: -180 + 6x + 15x + -12z + -2z = -52 Combine like terms: 6x + 15x = 21x -180 + 21x + -12z + -2z = -52 Combine like terms: -12z + -2z = -14z -180 + 21x + -14z = -52 Solving -180 + 21x + -14z = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 21x + 180 + -14z = -52 + 180 Reorder the terms: -180 + 180 + 21x + -14z = -52 + 180 Combine like terms: -180 + 180 = 0 0 + 21x + -14z = -52 + 180 21x + -14z = -52 + 180 Combine like terms: -52 + 180 = 128 21x + -14z = 128 Add '14z' to each side of the equation. 21x + -14z + 14z = 128 + 14z Combine like terms: -14z + 14z = 0 21x + 0 = 128 + 14z 21x = 128 + 14z Divide each side by '21'. x = 6.095238095 + 0.6666666667z Simplifying x = 6.095238095 + 0.6666666667z
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