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Simplifying 6 + -1(4x + 2) = -1(x + 3) + -5 Reorder the terms: 6 + -1(2 + 4x) = -1(x + 3) + -5 6 + (2 * -1 + 4x * -1) = -1(x + 3) + -5 6 + (-2 + -4x) = -1(x + 3) + -5 Combine like terms: 6 + -2 = 4 4 + -4x = -1(x + 3) + -5 Reorder the terms: 4 + -4x = -1(3 + x) + -5 4 + -4x = (3 * -1 + x * -1) + -5 4 + -4x = (-3 + -1x) + -5 Reorder the terms: 4 + -4x = -3 + -5 + -1x Combine like terms: -3 + -5 = -8 4 + -4x = -8 + -1x Solving 4 + -4x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -4x + x = -8 + -1x + x Combine like terms: -4x + x = -3x 4 + -3x = -8 + -1x + x Combine like terms: -1x + x = 0 4 + -3x = -8 + 0 4 + -3x = -8 Add '-4' to each side of the equation. 4 + -4 + -3x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -8 + -4 -3x = -8 + -4 Combine like terms: -8 + -4 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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