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Simplifying 3x + 4 + -2x = 7x + 9 Reorder the terms: 4 + 3x + -2x = 7x + 9 Combine like terms: 3x + -2x = 1x 4 + 1x = 7x + 9 Reorder the terms: 4 + 1x = 9 + 7x Solving 4 + 1x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 1x + -7x = 9 + 7x + -7x Combine like terms: 1x + -7x = -6x 4 + -6x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -6x = 9 + 0 4 + -6x = 9 Add '-4' to each side of the equation. 4 + -4 + -6x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 9 + -4 -6x = 9 + -4 Combine like terms: 9 + -4 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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