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Simplifying 3[1 + -1(-2x + -9)] = 48x + 219 Reorder the terms: 3[1 + -1(-9 + -2x)] = 48x + 219 3[1 + (-9 * -1 + -2x * -1)] = 48x + 219 3[1 + (9 + 2x)] = 48x + 219 Combine like terms: 1 + 9 = 10 3[10 + 2x] = 48x + 219 [10 * 3 + 2x * 3] = 48x + 219 [30 + 6x] = 48x + 219 Reorder the terms: 30 + 6x = 219 + 48x Solving 30 + 6x = 219 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 30 + 6x + -48x = 219 + 48x + -48x Combine like terms: 6x + -48x = -42x 30 + -42x = 219 + 48x + -48x Combine like terms: 48x + -48x = 0 30 + -42x = 219 + 0 30 + -42x = 219 Add '-30' to each side of the equation. 30 + -30 + -42x = 219 + -30 Combine like terms: 30 + -30 = 0 0 + -42x = 219 + -30 -42x = 219 + -30 Combine like terms: 219 + -30 = 189 -42x = 189 Divide each side by '-42'. x = -4.5 Simplifying x = -4.5
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