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Simplifying 6(4x + -9) + -6 = (x + -4) + 72 Reorder the terms: 6(-9 + 4x) + -6 = (x + -4) + 72 (-9 * 6 + 4x * 6) + -6 = (x + -4) + 72 (-54 + 24x) + -6 = (x + -4) + 72 Reorder the terms: -54 + -6 + 24x = (x + -4) + 72 Combine like terms: -54 + -6 = -60 -60 + 24x = (x + -4) + 72 Reorder the terms: -60 + 24x = (-4 + x) + 72 Remove parenthesis around (-4 + x) -60 + 24x = -4 + x + 72 Reorder the terms: -60 + 24x = -4 + 72 + x Combine like terms: -4 + 72 = 68 -60 + 24x = 68 + x Solving -60 + 24x = 68 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -60 + 24x + -1x = 68 + x + -1x Combine like terms: 24x + -1x = 23x -60 + 23x = 68 + x + -1x Combine like terms: x + -1x = 0 -60 + 23x = 68 + 0 -60 + 23x = 68 Add '60' to each side of the equation. -60 + 60 + 23x = 68 + 60 Combine like terms: -60 + 60 = 0 0 + 23x = 68 + 60 23x = 68 + 60 Combine like terms: 68 + 60 = 128 23x = 128 Divide each side by '23'. x = 5.565217391 Simplifying x = 5.565217391
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