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Simplifying 2(3x + -6) = 2x + -4(x + -8) Reorder the terms: 2(-6 + 3x) = 2x + -4(x + -8) (-6 * 2 + 3x * 2) = 2x + -4(x + -8) (-12 + 6x) = 2x + -4(x + -8) Reorder the terms: -12 + 6x = 2x + -4(-8 + x) -12 + 6x = 2x + (-8 * -4 + x * -4) -12 + 6x = 2x + (32 + -4x) Reorder the terms: -12 + 6x = 32 + 2x + -4x Combine like terms: 2x + -4x = -2x -12 + 6x = 32 + -2x Solving -12 + 6x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 6x + 2x = 32 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 32 + 0 -12 + 8x = 32 Add '12' to each side of the equation. -12 + 12 + 8x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 32 + 12 8x = 32 + 12 Combine like terms: 32 + 12 = 44 8x = 44 Divide each side by '8'. x = 5.5 Simplifying x = 5.5
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