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Simplifying 4x + 3 + -6x + -1 = -6 + 4x + -2 + 9 Reorder the terms: 3 + -1 + 4x + -6x = -6 + 4x + -2 + 9 Combine like terms: 3 + -1 = 2 2 + 4x + -6x = -6 + 4x + -2 + 9 Combine like terms: 4x + -6x = -2x 2 + -2x = -6 + 4x + -2 + 9 Reorder the terms: 2 + -2x = -6 + -2 + 9 + 4x Combine like terms: -6 + -2 = -8 2 + -2x = -8 + 9 + 4x Combine like terms: -8 + 9 = 1 2 + -2x = 1 + 4x Solving 2 + -2x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -2x + -4x = 1 + 4x + -4x Combine like terms: -2x + -4x = -6x 2 + -6x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -6x = 1 + 0 2 + -6x = 1 Add '-2' to each side of the equation. 2 + -2 + -6x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 1 + -2 -6x = 1 + -2 Combine like terms: 1 + -2 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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