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Simplifying 50 + -6(x + 1) = 22 + -10(x + -1) Reorder the terms: 50 + -6(1 + x) = 22 + -10(x + -1) 50 + (1 * -6 + x * -6) = 22 + -10(x + -1) 50 + (-6 + -6x) = 22 + -10(x + -1) Combine like terms: 50 + -6 = 44 44 + -6x = 22 + -10(x + -1) Reorder the terms: 44 + -6x = 22 + -10(-1 + x) 44 + -6x = 22 + (-1 * -10 + x * -10) 44 + -6x = 22 + (10 + -10x) Combine like terms: 22 + 10 = 32 44 + -6x = 32 + -10x Solving 44 + -6x = 32 + -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 + -6x + 10x = 32 + -10x + 10x Combine like terms: -6x + 10x = 4x 44 + 4x = 32 + -10x + 10x Combine like terms: -10x + 10x = 0 44 + 4x = 32 + 0 44 + 4x = 32 Add '-44' to each side of the equation. 44 + -44 + 4x = 32 + -44 Combine like terms: 44 + -44 = 0 0 + 4x = 32 + -44 4x = 32 + -44 Combine like terms: 32 + -44 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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