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Simplifying 5x + 6(-3x + -3) = 47 Reorder the terms: 5x + 6(-3 + -3x) = 47 5x + (-3 * 6 + -3x * 6) = 47 5x + (-18 + -18x) = 47 Reorder the terms: -18 + 5x + -18x = 47 Combine like terms: 5x + -18x = -13x -18 + -13x = 47 Solving -18 + -13x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -13x = 47 + 18 Combine like terms: -18 + 18 = 0 0 + -13x = 47 + 18 -13x = 47 + 18 Combine like terms: 47 + 18 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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