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Simplifying 4 + 3(2x + 4) + -4 = -42 Reorder the terms: 4 + 3(4 + 2x) + -4 = -42 4 + (4 * 3 + 2x * 3) + -4 = -42 4 + (12 + 6x) + -4 = -42 Reorder the terms: 4 + 12 + -4 + 6x = -42 Combine like terms: 4 + 12 = 16 16 + -4 + 6x = -42 Combine like terms: 16 + -4 = 12 12 + 6x = -42 Solving 12 + 6x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -42 + -12 6x = -42 + -12 Combine like terms: -42 + -12 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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