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Simplifying 10x + -1(21 + -4x) = -11(5 + -2x) 10x + (21 * -1 + -4x * -1) = -11(5 + -2x) 10x + (-21 + 4x) = -11(5 + -2x) Reorder the terms: -21 + 10x + 4x = -11(5 + -2x) Combine like terms: 10x + 4x = 14x -21 + 14x = -11(5 + -2x) -21 + 14x = (5 * -11 + -2x * -11) -21 + 14x = (-55 + 22x) Solving -21 + 14x = -55 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -21 + 14x + -22x = -55 + 22x + -22x Combine like terms: 14x + -22x = -8x -21 + -8x = -55 + 22x + -22x Combine like terms: 22x + -22x = 0 -21 + -8x = -55 + 0 -21 + -8x = -55 Add '21' to each side of the equation. -21 + 21 + -8x = -55 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = -55 + 21 -8x = -55 + 21 Combine like terms: -55 + 21 = -34 -8x = -34 Divide each side by '-8'. x = 4.25 Simplifying x = 4.25
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