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Simplifying 12(2x + -3) + -6(x + -8) = 120 Reorder the terms: 12(-3 + 2x) + -6(x + -8) = 120 (-3 * 12 + 2x * 12) + -6(x + -8) = 120 (-36 + 24x) + -6(x + -8) = 120 Reorder the terms: -36 + 24x + -6(-8 + x) = 120 -36 + 24x + (-8 * -6 + x * -6) = 120 -36 + 24x + (48 + -6x) = 120 Reorder the terms: -36 + 48 + 24x + -6x = 120 Combine like terms: -36 + 48 = 12 12 + 24x + -6x = 120 Combine like terms: 24x + -6x = 18x 12 + 18x = 120 Solving 12 + 18x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18x = 120 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 120 + -12 18x = 120 + -12 Combine like terms: 120 + -12 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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