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Simplifying -2(x + 6) = 4x + -8 + (3x + 1) Reorder the terms: -2(6 + x) = 4x + -8 + (3x + 1) (6 * -2 + x * -2) = 4x + -8 + (3x + 1) (-12 + -2x) = 4x + -8 + (3x + 1) Reorder the terms: -12 + -2x = 4x + -8 + (1 + 3x) Remove parenthesis around (1 + 3x) -12 + -2x = 4x + -8 + 1 + 3x Reorder the terms: -12 + -2x = -8 + 1 + 4x + 3x Combine like terms: -8 + 1 = -7 -12 + -2x = -7 + 4x + 3x Combine like terms: 4x + 3x = 7x -12 + -2x = -7 + 7x Solving -12 + -2x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -2x + -7x = -7 + 7x + -7x Combine like terms: -2x + -7x = -9x -12 + -9x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -9x = -7 + 0 -12 + -9x = -7 Add '12' to each side of the equation. -12 + 12 + -9x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -7 + 12 -9x = -7 + 12 Combine like terms: -7 + 12 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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