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Simplifying 4[1 + -1(-3x + -6)] = 24x + 52 Reorder the terms: 4[1 + -1(-6 + -3x)] = 24x + 52 4[1 + (-6 * -1 + -3x * -1)] = 24x + 52 4[1 + (6 + 3x)] = 24x + 52 Combine like terms: 1 + 6 = 7 4[7 + 3x] = 24x + 52 [7 * 4 + 3x * 4] = 24x + 52 [28 + 12x] = 24x + 52 Reorder the terms: 28 + 12x = 52 + 24x Solving 28 + 12x = 52 + 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. 28 + 12x + -24x = 52 + 24x + -24x Combine like terms: 12x + -24x = -12x 28 + -12x = 52 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -12x = 52 + 0 28 + -12x = 52 Add '-28' to each side of the equation. 28 + -28 + -12x = 52 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = 52 + -28 -12x = 52 + -28 Combine like terms: 52 + -28 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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