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Simplifying 2(2x + -3) + -8(x + -1) + 1 = 0 Reorder the terms: 2(-3 + 2x) + -8(x + -1) + 1 = 0 (-3 * 2 + 2x * 2) + -8(x + -1) + 1 = 0 (-6 + 4x) + -8(x + -1) + 1 = 0 Reorder the terms: -6 + 4x + -8(-1 + x) + 1 = 0 -6 + 4x + (-1 * -8 + x * -8) + 1 = 0 -6 + 4x + (8 + -8x) + 1 = 0 Reorder the terms: -6 + 8 + 1 + 4x + -8x = 0 Combine like terms: -6 + 8 = 2 2 + 1 + 4x + -8x = 0 Combine like terms: 2 + 1 = 3 3 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x 3 + -4x = 0 Solving 3 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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