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Simplifying 3.1x + 6 = 5.7x + -7 Reorder the terms: 6 + 3.1x = 5.7x + -7 Reorder the terms: 6 + 3.1x = -7 + 5.7x Solving 6 + 3.1x = -7 + 5.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.7x' to each side of the equation. 6 + 3.1x + -5.7x = -7 + 5.7x + -5.7x Combine like terms: 3.1x + -5.7x = -2.6x 6 + -2.6x = -7 + 5.7x + -5.7x Combine like terms: 5.7x + -5.7x = 0.0 6 + -2.6x = -7 + 0.0 6 + -2.6x = -7 Add '-6' to each side of the equation. 6 + -6 + -2.6x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -2.6x = -7 + -6 -2.6x = -7 + -6 Combine like terms: -7 + -6 = -13 -2.6x = -13 Divide each side by '-2.6'. x = 5 Simplifying x = 5
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