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Simplifying 8x + -4(3 + -2x) = 4(2x + -3) + 4 8x + (3 * -4 + -2x * -4) = 4(2x + -3) + 4 8x + (-12 + 8x) = 4(2x + -3) + 4 Reorder the terms: -12 + 8x + 8x = 4(2x + -3) + 4 Combine like terms: 8x + 8x = 16x -12 + 16x = 4(2x + -3) + 4 Reorder the terms: -12 + 16x = 4(-3 + 2x) + 4 -12 + 16x = (-3 * 4 + 2x * 4) + 4 -12 + 16x = (-12 + 8x) + 4 Reorder the terms: -12 + 16x = -12 + 4 + 8x Combine like terms: -12 + 4 = -8 -12 + 16x = -8 + 8x Solving -12 + 16x = -8 + 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. -12 + 16x + -8x = -8 + 8x + -8x Combine like terms: 16x + -8x = 8x -12 + 8x = -8 + 8x + -8x Combine like terms: 8x + -8x = 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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