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Simplifying 5 + -1(x + -5) = 2(x + 3) + -6(x + 1) Reorder the terms: 5 + -1(-5 + x) = 2(x + 3) + -6(x + 1) 5 + (-5 * -1 + x * -1) = 2(x + 3) + -6(x + 1) 5 + (5 + -1x) = 2(x + 3) + -6(x + 1) Combine like terms: 5 + 5 = 10 10 + -1x = 2(x + 3) + -6(x + 1) Reorder the terms: 10 + -1x = 2(3 + x) + -6(x + 1) 10 + -1x = (3 * 2 + x * 2) + -6(x + 1) 10 + -1x = (6 + 2x) + -6(x + 1) Reorder the terms: 10 + -1x = 6 + 2x + -6(1 + x) 10 + -1x = 6 + 2x + (1 * -6 + x * -6) 10 + -1x = 6 + 2x + (-6 + -6x) Reorder the terms: 10 + -1x = 6 + -6 + 2x + -6x Combine like terms: 6 + -6 = 0 10 + -1x = 0 + 2x + -6x 10 + -1x = 2x + -6x Combine like terms: 2x + -6x = -4x 10 + -1x = -4x Solving 10 + -1x = -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. 10 + -1x + 4x = -4x + 4x Combine like terms: -1x + 4x = 3x 10 + 3x = -4x + 4x Combine like terms: -4x + 4x = 0 10 + 3x = 0 Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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