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Simplifying 6[6 + -1(-2x + -7)] = 24x + 120 Reorder the terms: 6[6 + -1(-7 + -2x)] = 24x + 120 6[6 + (-7 * -1 + -2x * -1)] = 24x + 120 6[6 + (7 + 2x)] = 24x + 120 Combine like terms: 6 + 7 = 13 6[13 + 2x] = 24x + 120 [13 * 6 + 2x * 6] = 24x + 120 [78 + 12x] = 24x + 120 Reorder the terms: 78 + 12x = 120 + 24x Solving 78 + 12x = 120 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 78 + 12x + -24x = 120 + 24x + -24x Combine like terms: 12x + -24x = -12x 78 + -12x = 120 + 24x + -24x Combine like terms: 24x + -24x = 0 78 + -12x = 120 + 0 78 + -12x = 120 Add '-78' to each side of the equation. 78 + -78 + -12x = 120 + -78 Combine like terms: 78 + -78 = 0 0 + -12x = 120 + -78 -12x = 120 + -78 Combine like terms: 120 + -78 = 42 -12x = 42 Divide each side by '-12'. x = -3.5 Simplifying x = -3.5
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