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Simplifying 4x + -1(x + 2) + 6 + -2(3x + 8) = 0 Reorder the terms: 4x + -1(2 + x) + 6 + -2(3x + 8) = 0 4x + (2 * -1 + x * -1) + 6 + -2(3x + 8) = 0 4x + (-2 + -1x) + 6 + -2(3x + 8) = 0 Reorder the terms: 4x + -2 + -1x + 6 + -2(8 + 3x) = 0 4x + -2 + -1x + 6 + (8 * -2 + 3x * -2) = 0 4x + -2 + -1x + 6 + (-16 + -6x) = 0 Reorder the terms: -2 + 6 + -16 + 4x + -1x + -6x = 0 Combine like terms: -2 + 6 = 4 4 + -16 + 4x + -1x + -6x = 0 Combine like terms: 4 + -16 = -12 -12 + 4x + -1x + -6x = 0 Combine like terms: 4x + -1x = 3x -12 + 3x + -6x = 0 Combine like terms: 3x + -6x = -3x -12 + -3x = 0 Solving -12 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 0 + 12 -3x = 0 + 12 Combine like terms: 0 + 12 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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