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Simplifying -4.6x + 3.1 = -4.2x + 3.5 Reorder the terms: 3.1 + -4.6x = -4.2x + 3.5 Reorder the terms: 3.1 + -4.6x = 3.5 + -4.2x Solving 3.1 + -4.6x = 3.5 + -4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2x' to each side of the equation. 3.1 + -4.6x + 4.2x = 3.5 + -4.2x + 4.2x Combine like terms: -4.6x + 4.2x = -0.4x 3.1 + -0.4x = 3.5 + -4.2x + 4.2x Combine like terms: -4.2x + 4.2x = 0.0 3.1 + -0.4x = 3.5 + 0.0 3.1 + -0.4x = 3.5 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -0.4x = 3.5 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -0.4x = 3.5 + -3.1 -0.4x = 3.5 + -3.1 Combine like terms: 3.5 + -3.1 = 0.4 -0.4x = 0.4 Divide each side by '-0.4'. x = -1 Simplifying x = -1
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