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Simplifying 4(3x + 3) + -1(x + 5) = 106 Reorder the terms: 4(3 + 3x) + -1(x + 5) = 106 (3 * 4 + 3x * 4) + -1(x + 5) = 106 (12 + 12x) + -1(x + 5) = 106 Reorder the terms: 12 + 12x + -1(5 + x) = 106 12 + 12x + (5 * -1 + x * -1) = 106 12 + 12x + (-5 + -1x) = 106 Reorder the terms: 12 + -5 + 12x + -1x = 106 Combine like terms: 12 + -5 = 7 7 + 12x + -1x = 106 Combine like terms: 12x + -1x = 11x 7 + 11x = 106 Solving 7 + 11x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11x = 106 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 106 + -7 11x = 106 + -7 Combine like terms: 106 + -7 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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