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Simplifying 6(x + -2) + 2x = 5x + -4 Reorder the terms: 6(-2 + x) + 2x = 5x + -4 (-2 * 6 + x * 6) + 2x = 5x + -4 (-12 + 6x) + 2x = 5x + -4 Combine like terms: 6x + 2x = 8x -12 + 8x = 5x + -4 Reorder the terms: -12 + 8x = -4 + 5x Solving -12 + 8x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 8x + -5x = -4 + 5x + -5x Combine like terms: 8x + -5x = 3x -12 + 3x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 3x = -4 + 0 -12 + 3x = -4 Add '12' to each side of the equation. -12 + 12 + 3x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -4 + 12 3x = -4 + 12 Combine like terms: -4 + 12 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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