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Simplifying 4x + -1(7 + -2x) = 1 + 2x + 8 4x + (7 * -1 + -2x * -1) = 1 + 2x + 8 4x + (-7 + 2x) = 1 + 2x + 8 Reorder the terms: -7 + 4x + 2x = 1 + 2x + 8 Combine like terms: 4x + 2x = 6x -7 + 6x = 1 + 2x + 8 Reorder the terms: -7 + 6x = 1 + 8 + 2x Combine like terms: 1 + 8 = 9 -7 + 6x = 9 + 2x Solving -7 + 6x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x -7 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 4x = 9 + 0 -7 + 4x = 9 Add '7' to each side of the equation. -7 + 7 + 4x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 9 + 7 4x = 9 + 7 Combine like terms: 9 + 7 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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