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Simplifying 6(4x + -9) + -6 = 6(x + -4) + 72 Reorder the terms: 6(-9 + 4x) + -6 = 6(x + -4) + 72 (-9 * 6 + 4x * 6) + -6 = 6(x + -4) + 72 (-54 + 24x) + -6 = 6(x + -4) + 72 Reorder the terms: -54 + -6 + 24x = 6(x + -4) + 72 Combine like terms: -54 + -6 = -60 -60 + 24x = 6(x + -4) + 72 Reorder the terms: -60 + 24x = 6(-4 + x) + 72 -60 + 24x = (-4 * 6 + x * 6) + 72 -60 + 24x = (-24 + 6x) + 72 Reorder the terms: -60 + 24x = -24 + 72 + 6x Combine like terms: -24 + 72 = 48 -60 + 24x = 48 + 6x Solving -60 + 24x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -60 + 24x + -6x = 48 + 6x + -6x Combine like terms: 24x + -6x = 18x -60 + 18x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 18x = 48 + 0 -60 + 18x = 48 Add '60' to each side of the equation. -60 + 60 + 18x = 48 + 60 Combine like terms: -60 + 60 = 0 0 + 18x = 48 + 60 18x = 48 + 60 Combine like terms: 48 + 60 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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