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Simplifying 10(x + -11) + -7 = 21x + -238 Reorder the terms: 10(-11 + x) + -7 = 21x + -238 (-11 * 10 + x * 10) + -7 = 21x + -238 (-110 + 10x) + -7 = 21x + -238 Reorder the terms: -110 + -7 + 10x = 21x + -238 Combine like terms: -110 + -7 = -117 -117 + 10x = 21x + -238 Reorder the terms: -117 + 10x = -238 + 21x Solving -117 + 10x = -238 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -117 + 10x + -21x = -238 + 21x + -21x Combine like terms: 10x + -21x = -11x -117 + -11x = -238 + 21x + -21x Combine like terms: 21x + -21x = 0 -117 + -11x = -238 + 0 -117 + -11x = -238 Add '117' to each side of the equation. -117 + 117 + -11x = -238 + 117 Combine like terms: -117 + 117 = 0 0 + -11x = -238 + 117 -11x = -238 + 117 Combine like terms: -238 + 117 = -121 -11x = -121 Divide each side by '-11'. x = 11 Simplifying x = 11
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