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Simplifying 4x + -2 + 5x = 7(x + -1) Reorder the terms: -2 + 4x + 5x = 7(x + -1) Combine like terms: 4x + 5x = 9x -2 + 9x = 7(x + -1) Reorder the terms: -2 + 9x = 7(-1 + x) -2 + 9x = (-1 * 7 + x * 7) -2 + 9x = (-7 + 7x) Solving -2 + 9x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 9x + -7x = -7 + 7x + -7x Combine like terms: 9x + -7x = 2x -2 + 2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 2x = -7 + 0 -2 + 2x = -7 Add '2' to each side of the equation. -2 + 2 + 2x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -7 + 2 2x = -7 + 2 Combine like terms: -7 + 2 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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