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Simplifying 4 + -1(x + -5) + 2 = 6 + -4(x + 1) Reorder the terms: 4 + -1(-5 + x) + 2 = 6 + -4(x + 1) 4 + (-5 * -1 + x * -1) + 2 = 6 + -4(x + 1) 4 + (5 + -1x) + 2 = 6 + -4(x + 1) Reorder the terms: 4 + 5 + 2 + -1x = 6 + -4(x + 1) Combine like terms: 4 + 5 = 9 9 + 2 + -1x = 6 + -4(x + 1) Combine like terms: 9 + 2 = 11 11 + -1x = 6 + -4(x + 1) Reorder the terms: 11 + -1x = 6 + -4(1 + x) 11 + -1x = 6 + (1 * -4 + x * -4) 11 + -1x = 6 + (-4 + -4x) Combine like terms: 6 + -4 = 2 11 + -1x = 2 + -4x Solving 11 + -1x = 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. 11 + -1x + 4x = 2 + -4x + 4x Combine like terms: -1x + 4x = 3x 11 + 3x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + 3x = 2 + 0 11 + 3x = 2 Add '-11' to each side of the equation. 11 + -11 + 3x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 2 + -11 3x = 2 + -11 Combine like terms: 2 + -11 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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