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Simplifying 24x + 6(4z + 4x) + 12(3x) = 1560 Reorder the terms: 24x + 6(4x + 4z) + 12(3x) = 1560 24x + (4x * 6 + 4z * 6) + 12(3x) = 1560 24x + (24x + 24z) + 12(3x) = 1560 Remove parenthesis around (3x) 24x + 24x + 24z + 12 * 3x = 1560 Multiply 12 * 3 24x + 24x + 24z + 36x = 1560 Reorder the terms: 24x + 24x + 36x + 24z = 1560 Combine like terms: 24x + 24x = 48x 48x + 36x + 24z = 1560 Combine like terms: 48x + 36x = 84x 84x + 24z = 1560 Solving 84x + 24z = 1560 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24z' to each side of the equation. 84x + 24z + -24z = 1560 + -24z Combine like terms: 24z + -24z = 0 84x + 0 = 1560 + -24z 84x = 1560 + -24z Divide each side by '84'. x = 18.57142857 + -0.2857142857z Simplifying x = 18.57142857 + -0.2857142857z
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