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Simplifying 21(10) = x + 5(x + 5 + x + 4) Multiply 21 * 10 210 = x + 5(x + 5 + x + 4) Reorder the terms: 210 = x + 5(5 + 4 + x + x) Combine like terms: 5 + 4 = 9 210 = x + 5(9 + x + x) Combine like terms: x + x = 2x 210 = x + 5(9 + 2x) 210 = x + (9 * 5 + 2x * 5) 210 = x + (45 + 10x) Reorder the terms: 210 = 45 + x + 10x Combine like terms: x + 10x = 11x 210 = 45 + 11x Solving 210 = 45 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 210 + -11x = 45 + 11x + -11x Combine like terms: 11x + -11x = 0 210 + -11x = 45 + 0 210 + -11x = 45 Add '-210' to each side of the equation. 210 + -210 + -11x = 45 + -210 Combine like terms: 210 + -210 = 0 0 + -11x = 45 + -210 -11x = 45 + -210 Combine like terms: 45 + -210 = -165 -11x = -165 Divide each side by '-11'. x = 15 Simplifying x = 15
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