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Simplifying -4[-3x + -6 + 3(x + 1)] = 5x + -5 Reorder the terms: -4[-3x + -6 + 3(1 + x)] = 5x + -5 -4[-3x + -6 + (1 * 3 + x * 3)] = 5x + -5 -4[-3x + -6 + (3 + 3x)] = 5x + -5 Reorder the terms: -4[-6 + 3 + -3x + 3x] = 5x + -5 Combine like terms: -6 + 3 = -3 -4[-3 + -3x + 3x] = 5x + -5 Combine like terms: -3x + 3x = 0 -4[-3 + 0] = 5x + -5 -4[-3] = 5x + -5 Multiply -4 * -3 12 = 5x + -5 Reorder the terms: 12 = -5 + 5x Solving 12 = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -5x = -5 + 0 12 + -5x = -5 Add '-12' to each side of the equation. 12 + -12 + -5x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -5 + -12 -5x = -5 + -12 Combine like terms: -5 + -12 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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