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