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Simplifying 7 + -1(4x + -2) = 5x Reorder the terms: 7 + -1(-2 + 4x) = 5x 7 + (-2 * -1 + 4x * -1) = 5x 7 + (2 + -4x) = 5x Combine like terms: 7 + 2 = 9 9 + -4x = 5x Solving 9 + -4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x 9 + -9x = 5x + -5x Combine like terms: 5x + -5x = 0 9 + -9x = 0 Add '-9' to each side of the equation. 9 + -9 + -9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 0 + -9 -9x = 0 + -9 Combine like terms: 0 + -9 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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