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Simplifying 3(1 + 3x) + -5(x + -6) = 21 (1 * 3 + 3x * 3) + -5(x + -6) = 21 (3 + 9x) + -5(x + -6) = 21 Reorder the terms: 3 + 9x + -5(-6 + x) = 21 3 + 9x + (-6 * -5 + x * -5) = 21 3 + 9x + (30 + -5x) = 21 Reorder the terms: 3 + 30 + 9x + -5x = 21 Combine like terms: 3 + 30 = 33 33 + 9x + -5x = 21 Combine like terms: 9x + -5x = 4x 33 + 4x = 21 Solving 33 + 4x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 4x = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 4x = 21 + -33 4x = 21 + -33 Combine like terms: 21 + -33 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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