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Simplifying 2 + -1(x + 6) = 4(-3 + -1x) + 5 Reorder the terms: 2 + -1(6 + x) = 4(-3 + -1x) + 5 2 + (6 * -1 + x * -1) = 4(-3 + -1x) + 5 2 + (-6 + -1x) = 4(-3 + -1x) + 5 Combine like terms: 2 + -6 = -4 -4 + -1x = 4(-3 + -1x) + 5 -4 + -1x = (-3 * 4 + -1x * 4) + 5 -4 + -1x = (-12 + -4x) + 5 Reorder the terms: -4 + -1x = -12 + 5 + -4x Combine like terms: -12 + 5 = -7 -4 + -1x = -7 + -4x Solving -4 + -1x = -7 + -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. -4 + -1x + 4x = -7 + -4x + 4x Combine like terms: -1x + 4x = 3x -4 + 3x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 3x = -7 + 0 -4 + 3x = -7 Add '4' to each side of the equation. -4 + 4 + 3x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -7 + 4 3x = -7 + 4 Combine like terms: -7 + 4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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