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Simplifying 4x + 5x + -6 = 2(3x + -1) Reorder the terms: -6 + 4x + 5x = 2(3x + -1) Combine like terms: 4x + 5x = 9x -6 + 9x = 2(3x + -1) Reorder the terms: -6 + 9x = 2(-1 + 3x) -6 + 9x = (-1 * 2 + 3x * 2) -6 + 9x = (-2 + 6x) Solving -6 + 9x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 9x + -6x = -2 + 6x + -6x Combine like terms: 9x + -6x = 3x -6 + 3x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 3x = -2 + 0 -6 + 3x = -2 Add '6' to each side of the equation. -6 + 6 + 3x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -2 + 6 3x = -2 + 6 Combine like terms: -2 + 6 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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