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Simplifying 8 + 4(4x + -4) = 8 + -4(2x + 1) Reorder the terms: 8 + 4(-4 + 4x) = 8 + -4(2x + 1) 8 + (-4 * 4 + 4x * 4) = 8 + -4(2x + 1) 8 + (-16 + 16x) = 8 + -4(2x + 1) Combine like terms: 8 + -16 = -8 -8 + 16x = 8 + -4(2x + 1) Reorder the terms: -8 + 16x = 8 + -4(1 + 2x) -8 + 16x = 8 + (1 * -4 + 2x * -4) -8 + 16x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -8 + 16x = 4 + -8x Solving -8 + 16x = 4 + -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. -8 + 16x + 8x = 4 + -8x + 8x Combine like terms: 16x + 8x = 24x -8 + 24x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 24x = 4 + 0 -8 + 24x = 4 Add '8' to each side of the equation. -8 + 8 + 24x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 24x = 4 + 8 24x = 4 + 8 Combine like terms: 4 + 8 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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