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Simplifying 5x + -4(2x + -2) = 8 + -1(x + 6) Reorder the terms: 5x + -4(-2 + 2x) = 8 + -1(x + 6) 5x + (-2 * -4 + 2x * -4) = 8 + -1(x + 6) 5x + (8 + -8x) = 8 + -1(x + 6) Reorder the terms: 8 + 5x + -8x = 8 + -1(x + 6) Combine like terms: 5x + -8x = -3x 8 + -3x = 8 + -1(x + 6) Reorder the terms: 8 + -3x = 8 + -1(6 + x) 8 + -3x = 8 + (6 * -1 + x * -1) 8 + -3x = 8 + (-6 + -1x) Combine like terms: 8 + -6 = 2 8 + -3x = 2 + -1x Solving 8 + -3x = 2 + -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. 8 + -3x + x = 2 + -1x + x Combine like terms: -3x + x = -2x 8 + -2x = 2 + -1x + x Combine like terms: -1x + x = 0 8 + -2x = 2 + 0 8 + -2x = 2 Add '-8' to each side of the equation. 8 + -8 + -2x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 2 + -8 -2x = 2 + -8 Combine like terms: 2 + -8 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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