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Simplifying 8 + 2(2x + -1) = -4(3x + -1) + 8x Reorder the terms: 8 + 2(-1 + 2x) = -4(3x + -1) + 8x 8 + (-1 * 2 + 2x * 2) = -4(3x + -1) + 8x 8 + (-2 + 4x) = -4(3x + -1) + 8x Combine like terms: 8 + -2 = 6 6 + 4x = -4(3x + -1) + 8x Reorder the terms: 6 + 4x = -4(-1 + 3x) + 8x 6 + 4x = (-1 * -4 + 3x * -4) + 8x 6 + 4x = (4 + -12x) + 8x Combine like terms: -12x + 8x = -4x 6 + 4x = 4 + -4x Solving 6 + 4x = 4 + -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. 6 + 4x + 4x = 4 + -4x + 4x Combine like terms: 4x + 4x = 8x 6 + 8x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 8x = 4 + 0 6 + 8x = 4 Add '-6' to each side of the equation. 6 + -6 + 8x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 4 + -6 8x = 4 + -6 Combine like terms: 4 + -6 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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