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Simplifying 7x + -2(2x + -4) + -1x + 1 = 0 Reorder the terms: 7x + -2(-4 + 2x) + -1x + 1 = 0 7x + (-4 * -2 + 2x * -2) + -1x + 1 = 0 7x + (8 + -4x) + -1x + 1 = 0 Reorder the terms: 8 + 1 + 7x + -4x + -1x = 0 Combine like terms: 8 + 1 = 9 9 + 7x + -4x + -1x = 0 Combine like terms: 7x + -4x = 3x 9 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x 9 + 2x = 0 Solving 9 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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