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