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Simplifying 2(2x + -6) = 8 + -4(x + 4) Reorder the terms: 2(-6 + 2x) = 8 + -4(x + 4) (-6 * 2 + 2x * 2) = 8 + -4(x + 4) (-12 + 4x) = 8 + -4(x + 4) Reorder the terms: -12 + 4x = 8 + -4(4 + x) -12 + 4x = 8 + (4 * -4 + x * -4) -12 + 4x = 8 + (-16 + -4x) Combine like terms: 8 + -16 = -8 -12 + 4x = -8 + -4x Solving -12 + 4x = -8 + -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. -12 + 4x + 4x = -8 + -4x + 4x Combine like terms: 4x + 4x = 8x -12 + 8x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 8x = -8 + 0 -12 + 8x = -8 Add '12' to each side of the equation. -12 + 12 + 8x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -8 + 12 8x = -8 + 12 Combine like terms: -8 + 12 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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