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Simplifying 12(2x + -7) = 6(6x + 4) Reorder the terms: 12(-7 + 2x) = 6(6x + 4) (-7 * 12 + 2x * 12) = 6(6x + 4) (-84 + 24x) = 6(6x + 4) Reorder the terms: -84 + 24x = 6(4 + 6x) -84 + 24x = (4 * 6 + 6x * 6) -84 + 24x = (24 + 36x) Solving -84 + 24x = 24 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -84 + 24x + -36x = 24 + 36x + -36x Combine like terms: 24x + -36x = -12x -84 + -12x = 24 + 36x + -36x Combine like terms: 36x + -36x = 0 -84 + -12x = 24 + 0 -84 + -12x = 24 Add '84' to each side of the equation. -84 + 84 + -12x = 24 + 84 Combine like terms: -84 + 84 = 0 0 + -12x = 24 + 84 -12x = 24 + 84 Combine like terms: 24 + 84 = 108 -12x = 108 Divide each side by '-12'. x = -9 Simplifying x = -9
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