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Simplifying 4x + 9 = 3x + -2x + 7 Reorder the terms: 9 + 4x = 3x + -2x + 7 Reorder the terms: 9 + 4x = 7 + 3x + -2x Combine like terms: 3x + -2x = 1x 9 + 4x = 7 + 1x Solving 9 + 4x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 4x + -1x = 7 + 1x + -1x Combine like terms: 4x + -1x = 3x 9 + 3x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 9 + 3x = 7 + 0 9 + 3x = 7 Add '-9' to each side of the equation. 9 + -9 + 3x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 7 + -9 3x = 7 + -9 Combine like terms: 7 + -9 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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