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