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Simplifying 7x + 4.6 = 3x + -1.7 Reorder the terms: 4.6 + 7x = 3x + -1.7 Reorder the terms: 4.6 + 7x = -1.7 + 3x Solving 4.6 + 7x = -1.7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4.6 + 7x + -3x = -1.7 + 3x + -3x Combine like terms: 7x + -3x = 4x 4.6 + 4x = -1.7 + 3x + -3x Combine like terms: 3x + -3x = 0 4.6 + 4x = -1.7 + 0 4.6 + 4x = -1.7 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 4x = -1.7 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 4x = -1.7 + -4.6 4x = -1.7 + -4.6 Combine like terms: -1.7 + -4.6 = -6.3 4x = -6.3 Divide each side by '4'. x = -1.575 Simplifying x = -1.575
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