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Simplifying 4(3x + 3) + -3(x + 5) = 106 Reorder the terms: 4(3 + 3x) + -3(x + 5) = 106 (3 * 4 + 3x * 4) + -3(x + 5) = 106 (12 + 12x) + -3(x + 5) = 106 Reorder the terms: 12 + 12x + -3(5 + x) = 106 12 + 12x + (5 * -3 + x * -3) = 106 12 + 12x + (-15 + -3x) = 106 Reorder the terms: 12 + -15 + 12x + -3x = 106 Combine like terms: 12 + -15 = -3 -3 + 12x + -3x = 106 Combine like terms: 12x + -3x = 9x -3 + 9x = 106 Solving -3 + 9x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9x = 106 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 106 + 3 9x = 106 + 3 Combine like terms: 106 + 3 = 109 9x = 109 Divide each side by '9'. x = 12.11111111 Simplifying x = 12.11111111
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