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Simplifying 11(x + 2) = 10(x + -4) Reorder the terms: 11(2 + x) = 10(x + -4) (2 * 11 + x * 11) = 10(x + -4) (22 + 11x) = 10(x + -4) Reorder the terms: 22 + 11x = 10(-4 + x) 22 + 11x = (-4 * 10 + x * 10) 22 + 11x = (-40 + 10x) Solving 22 + 11x = -40 + 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. 22 + 11x + -10x = -40 + 10x + -10x Combine like terms: 11x + -10x = 1x 22 + 1x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + 1x = -40 + 0 22 + 1x = -40 Add '-22' to each side of the equation. 22 + -22 + 1x = -40 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = -40 + -22 1x = -40 + -22 Combine like terms: -40 + -22 = -62 1x = -62 Divide each side by '1'. x = -62 Simplifying x = -62
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