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Simplifying 4x + -2 = 9 + -1(2x + -5) Reorder the terms: -2 + 4x = 9 + -1(2x + -5) Reorder the terms: -2 + 4x = 9 + -1(-5 + 2x) -2 + 4x = 9 + (-5 * -1 + 2x * -1) -2 + 4x = 9 + (5 + -2x) Combine like terms: 9 + 5 = 14 -2 + 4x = 14 + -2x Solving -2 + 4x = 14 + -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. -2 + 4x + 2x = 14 + -2x + 2x Combine like terms: 4x + 2x = 6x -2 + 6x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 6x = 14 + 0 -2 + 6x = 14 Add '2' to each side of the equation. -2 + 2 + 6x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 14 + 2 6x = 14 + 2 Combine like terms: 14 + 2 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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