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Simplifying 1.3x + 4.6 = 0.6x + 1.45 Reorder the terms: 4.6 + 1.3x = 0.6x + 1.45 Reorder the terms: 4.6 + 1.3x = 1.45 + 0.6x Solving 4.6 + 1.3x = 1.45 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 4.6 + 1.3x + -0.6x = 1.45 + 0.6x + -0.6x Combine like terms: 1.3x + -0.6x = 0.7x 4.6 + 0.7x = 1.45 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 4.6 + 0.7x = 1.45 + 0.0 4.6 + 0.7x = 1.45 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.7x = 1.45 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.7x = 1.45 + -4.6 0.7x = 1.45 + -4.6 Combine like terms: 1.45 + -4.6 = -3.15 0.7x = -3.15 Divide each side by '0.7'. x = -4.5 Simplifying x = -4.5
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