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Simplifying 4(2x + -1) + -1(-3 + 7) = 0 Reorder the terms: 4(-1 + 2x) + -1(-3 + 7) = 0 (-1 * 4 + 2x * 4) + -1(-3 + 7) = 0 (-4 + 8x) + -1(-3 + 7) = 0 Combine like terms: -3 + 7 = 4 -4 + 8x + -1(4) = 0 Multiply -1 * 4 -4 + 8x + -4 = 0 Reorder the terms: -4 + -4 + 8x = 0 Combine like terms: -4 + -4 = -8 -8 + 8x = 0 Solving -8 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 0 + 8 8x = 0 + 8 Combine like terms: 0 + 8 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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