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Simplifying 4(x + -11) + -8x = 10x + 24 Reorder the terms: 4(-11 + x) + -8x = 10x + 24 (-11 * 4 + x * 4) + -8x = 10x + 24 (-44 + 4x) + -8x = 10x + 24 Combine like terms: 4x + -8x = -4x -44 + -4x = 10x + 24 Reorder the terms: -44 + -4x = 24 + 10x Solving -44 + -4x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -44 + -4x + -10x = 24 + 10x + -10x Combine like terms: -4x + -10x = -14x -44 + -14x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -44 + -14x = 24 + 0 -44 + -14x = 24 Add '44' to each side of the equation. -44 + 44 + -14x = 24 + 44 Combine like terms: -44 + 44 = 0 0 + -14x = 24 + 44 -14x = 24 + 44 Combine like terms: 24 + 44 = 68 -14x = 68 Divide each side by '-14'. x = -4.857142857 Simplifying x = -4.857142857
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