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Simplifying 4(3x + -2) + -1(8x + 6) = 6(2x + -1) Reorder the terms: 4(-2 + 3x) + -1(8x + 6) = 6(2x + -1) (-2 * 4 + 3x * 4) + -1(8x + 6) = 6(2x + -1) (-8 + 12x) + -1(8x + 6) = 6(2x + -1) Reorder the terms: -8 + 12x + -1(6 + 8x) = 6(2x + -1) -8 + 12x + (6 * -1 + 8x * -1) = 6(2x + -1) -8 + 12x + (-6 + -8x) = 6(2x + -1) Reorder the terms: -8 + -6 + 12x + -8x = 6(2x + -1) Combine like terms: -8 + -6 = -14 -14 + 12x + -8x = 6(2x + -1) Combine like terms: 12x + -8x = 4x -14 + 4x = 6(2x + -1) Reorder the terms: -14 + 4x = 6(-1 + 2x) -14 + 4x = (-1 * 6 + 2x * 6) -14 + 4x = (-6 + 12x) Solving -14 + 4x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 4x + -12x = -6 + 12x + -12x Combine like terms: 4x + -12x = -8x -14 + -8x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -8x = -6 + 0 -14 + -8x = -6 Add '14' to each side of the equation. -14 + 14 + -8x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -6 + 14 -8x = -6 + 14 Combine like terms: -6 + 14 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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