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Simplifying 7x + -1(4x + -2) = 5x + 9 + -1x Reorder the terms: 7x + -1(-2 + 4x) = 5x + 9 + -1x 7x + (-2 * -1 + 4x * -1) = 5x + 9 + -1x 7x + (2 + -4x) = 5x + 9 + -1x Reorder the terms: 2 + 7x + -4x = 5x + 9 + -1x Combine like terms: 7x + -4x = 3x 2 + 3x = 5x + 9 + -1x Reorder the terms: 2 + 3x = 9 + 5x + -1x Combine like terms: 5x + -1x = 4x 2 + 3x = 9 + 4x Solving 2 + 3x = 9 + 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. 2 + 3x + -4x = 9 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = 9 + 0 2 + -1x = 9 Add '-2' to each side of the equation. 2 + -2 + -1x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 9 + -2 -1x = 9 + -2 Combine like terms: 9 + -2 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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