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Simplifying 3x + 2 = 6x + -3 Reorder the terms: 2 + 3x = 6x + -3 Reorder the terms: 2 + 3x = -3 + 6x Solving 2 + 3x = -3 + 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. 2 + 3x + -6x = -3 + 6x + -6x Combine like terms: 3x + -6x = -3x 2 + -3x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -3x = -3 + 0 2 + -3x = -3 Add '-2' to each side of the equation. 2 + -2 + -3x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -3 + -2 -3x = -3 + -2 Combine like terms: -3 + -2 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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