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Simplifying 6 + x + -2(3x + 4) = 8 + -6x + 2(x + 3) Reorder the terms: 6 + x + -2(4 + 3x) = 8 + -6x + 2(x + 3) 6 + x + (4 * -2 + 3x * -2) = 8 + -6x + 2(x + 3) 6 + x + (-8 + -6x) = 8 + -6x + 2(x + 3) Reorder the terms: 6 + -8 + x + -6x = 8 + -6x + 2(x + 3) Combine like terms: 6 + -8 = -2 -2 + x + -6x = 8 + -6x + 2(x + 3) Combine like terms: x + -6x = -5x -2 + -5x = 8 + -6x + 2(x + 3) Reorder the terms: -2 + -5x = 8 + -6x + 2(3 + x) -2 + -5x = 8 + -6x + (3 * 2 + x * 2) -2 + -5x = 8 + -6x + (6 + 2x) Reorder the terms: -2 + -5x = 8 + 6 + -6x + 2x Combine like terms: 8 + 6 = 14 -2 + -5x = 14 + -6x + 2x Combine like terms: -6x + 2x = -4x -2 + -5x = 14 + -4x Solving -2 + -5x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -5x + 4x = 14 + -4x + 4x Combine like terms: -5x + 4x = -1x -2 + -1x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -1x = 14 + 0 -2 + -1x = 14 Add '2' to each side of the equation. -2 + 2 + -1x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 14 + 2 -1x = 14 + 2 Combine like terms: 14 + 2 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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