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Simplifying 5(x + 3) + 6(x + -6) = 210 Reorder the terms: 5(3 + x) + 6(x + -6) = 210 (3 * 5 + x * 5) + 6(x + -6) = 210 (15 + 5x) + 6(x + -6) = 210 Reorder the terms: 15 + 5x + 6(-6 + x) = 210 15 + 5x + (-6 * 6 + x * 6) = 210 15 + 5x + (-36 + 6x) = 210 Reorder the terms: 15 + -36 + 5x + 6x = 210 Combine like terms: 15 + -36 = -21 -21 + 5x + 6x = 210 Combine like terms: 5x + 6x = 11x -21 + 11x = 210 Solving -21 + 11x = 210 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 11x = 210 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 210 + 21 11x = 210 + 21 Combine like terms: 210 + 21 = 231 11x = 231 Divide each side by '11'. x = 21 Simplifying x = 21
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