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Simplifying 6(4x + -1) = 12(-6x + 9) Reorder the terms: 6(-1 + 4x) = 12(-6x + 9) (-1 * 6 + 4x * 6) = 12(-6x + 9) (-6 + 24x) = 12(-6x + 9) Reorder the terms: -6 + 24x = 12(9 + -6x) -6 + 24x = (9 * 12 + -6x * 12) -6 + 24x = (108 + -72x) Solving -6 + 24x = 108 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -6 + 24x + 72x = 108 + -72x + 72x Combine like terms: 24x + 72x = 96x -6 + 96x = 108 + -72x + 72x Combine like terms: -72x + 72x = 0 -6 + 96x = 108 + 0 -6 + 96x = 108 Add '6' to each side of the equation. -6 + 6 + 96x = 108 + 6 Combine like terms: -6 + 6 = 0 0 + 96x = 108 + 6 96x = 108 + 6 Combine like terms: 108 + 6 = 114 96x = 114 Divide each side by '96'. x = 1.1875 Simplifying x = 1.1875
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