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Simplifying 3[4 + -1(-5x + -6)] = 30x + 48 Reorder the terms: 3[4 + -1(-6 + -5x)] = 30x + 48 3[4 + (-6 * -1 + -5x * -1)] = 30x + 48 3[4 + (6 + 5x)] = 30x + 48 Combine like terms: 4 + 6 = 10 3[10 + 5x] = 30x + 48 [10 * 3 + 5x * 3] = 30x + 48 [30 + 15x] = 30x + 48 Reorder the terms: 30 + 15x = 48 + 30x Solving 30 + 15x = 48 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 30 + 15x + -30x = 48 + 30x + -30x Combine like terms: 15x + -30x = -15x 30 + -15x = 48 + 30x + -30x Combine like terms: 30x + -30x = 0 30 + -15x = 48 + 0 30 + -15x = 48 Add '-30' to each side of the equation. 30 + -30 + -15x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 48 + -30 -15x = 48 + -30 Combine like terms: 48 + -30 = 18 -15x = 18 Divide each side by '-15'. x = -1.2 Simplifying x = -1.2
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