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Simplifying 11 + -5(x + 1) = 10 + -4(x + 2) Reorder the terms: 11 + -5(1 + x) = 10 + -4(x + 2) 11 + (1 * -5 + x * -5) = 10 + -4(x + 2) 11 + (-5 + -5x) = 10 + -4(x + 2) Combine like terms: 11 + -5 = 6 6 + -5x = 10 + -4(x + 2) Reorder the terms: 6 + -5x = 10 + -4(2 + x) 6 + -5x = 10 + (2 * -4 + x * -4) 6 + -5x = 10 + (-8 + -4x) Combine like terms: 10 + -8 = 2 6 + -5x = 2 + -4x Solving 6 + -5x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -5x + 4x = 2 + -4x + 4x Combine like terms: -5x + 4x = -1x 6 + -1x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -1x = 2 + 0 6 + -1x = 2 Add '-6' to each side of the equation. 6 + -6 + -1x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 2 + -6 -1x = 2 + -6 Combine like terms: 2 + -6 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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