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Simplifying 5(x + -11) + -10 = 32x + -308 Reorder the terms: 5(-11 + x) + -10 = 32x + -308 (-11 * 5 + x * 5) + -10 = 32x + -308 (-55 + 5x) + -10 = 32x + -308 Reorder the terms: -55 + -10 + 5x = 32x + -308 Combine like terms: -55 + -10 = -65 -65 + 5x = 32x + -308 Reorder the terms: -65 + 5x = -308 + 32x Solving -65 + 5x = -308 + 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. -65 + 5x + -32x = -308 + 32x + -32x Combine like terms: 5x + -32x = -27x -65 + -27x = -308 + 32x + -32x Combine like terms: 32x + -32x = 0 -65 + -27x = -308 + 0 -65 + -27x = -308 Add '65' to each side of the equation. -65 + 65 + -27x = -308 + 65 Combine like terms: -65 + 65 = 0 0 + -27x = -308 + 65 -27x = -308 + 65 Combine like terms: -308 + 65 = -243 -27x = -243 Divide each side by '-27'. x = 9 Simplifying x = 9
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