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Simplifying 7x + 2 + -3 + 5 + 3.4 = 2x + -1x + 12 Reorder the terms: 2 + -3 + 5 + 3.4 + 7x = 2x + -1x + 12 Combine like terms: 2 + -3 = -1 -1 + 5 + 3.4 + 7x = 2x + -1x + 12 Combine like terms: -1 + 5 = 4 4 + 3.4 + 7x = 2x + -1x + 12 Combine like terms: 4 + 3.4 = 7.4 7.4 + 7x = 2x + -1x + 12 Reorder the terms: 7.4 + 7x = 12 + 2x + -1x Combine like terms: 2x + -1x = 1x 7.4 + 7x = 12 + 1x Solving 7.4 + 7x = 12 + 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. 7.4 + 7x + -1x = 12 + 1x + -1x Combine like terms: 7x + -1x = 6x 7.4 + 6x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 7.4 + 6x = 12 + 0 7.4 + 6x = 12 Add '-7.4' to each side of the equation. 7.4 + -7.4 + 6x = 12 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + 6x = 12 + -7.4 6x = 12 + -7.4 Combine like terms: 12 + -7.4 = 4.6 6x = 4.6 Divide each side by '6'. x = 0.7666666667 Simplifying x = 0.7666666667
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