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Simplifying 10x + -1(21 + -4x) + -34 = -11(5 + -2x) 10x + (21 * -1 + -4x * -1) + -34 = -11(5 + -2x) 10x + (-21 + 4x) + -34 = -11(5 + -2x) Reorder the terms: -21 + -34 + 10x + 4x = -11(5 + -2x) Combine like terms: -21 + -34 = -55 -55 + 10x + 4x = -11(5 + -2x) Combine like terms: 10x + 4x = 14x -55 + 14x = -11(5 + -2x) -55 + 14x = (5 * -11 + -2x * -11) -55 + 14x = (-55 + 22x) Add '55' to each side of the equation. -55 + 55 + 14x = -55 + 55 + 22x Combine like terms: -55 + 55 = 0 0 + 14x = -55 + 55 + 22x 14x = -55 + 55 + 22x Combine like terms: -55 + 55 = 0 14x = 0 + 22x 14x = 22x Solving 14x = 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. 14x + -22x = 22x + -22x Combine like terms: 14x + -22x = -8x -8x = 22x + -22x Combine like terms: 22x + -22x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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