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Simplifying 11(x + -9) + -10 = 32x + -298 Reorder the terms: 11(-9 + x) + -10 = 32x + -298 (-9 * 11 + x * 11) + -10 = 32x + -298 (-99 + 11x) + -10 = 32x + -298 Reorder the terms: -99 + -10 + 11x = 32x + -298 Combine like terms: -99 + -10 = -109 -109 + 11x = 32x + -298 Reorder the terms: -109 + 11x = -298 + 32x Solving -109 + 11x = -298 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -109 + 11x + -32x = -298 + 32x + -32x Combine like terms: 11x + -32x = -21x -109 + -21x = -298 + 32x + -32x Combine like terms: 32x + -32x = 0 -109 + -21x = -298 + 0 -109 + -21x = -298 Add '109' to each side of the equation. -109 + 109 + -21x = -298 + 109 Combine like terms: -109 + 109 = 0 0 + -21x = -298 + 109 -21x = -298 + 109 Combine like terms: -298 + 109 = -189 -21x = -189 Divide each side by '-21'. x = 9 Simplifying x = 9
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