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Simplifying -0.6x + 1.53 = -0.4x + 5.13 Reorder the terms: 1.53 + -0.6x = -0.4x + 5.13 Reorder the terms: 1.53 + -0.6x = 5.13 + -0.4x Solving 1.53 + -0.6x = 5.13 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 1.53 + -0.6x + 0.4x = 5.13 + -0.4x + 0.4x Combine like terms: -0.6x + 0.4x = -0.2x 1.53 + -0.2x = 5.13 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 1.53 + -0.2x = 5.13 + 0.0 1.53 + -0.2x = 5.13 Add '-1.53' to each side of the equation. 1.53 + -1.53 + -0.2x = 5.13 + -1.53 Combine like terms: 1.53 + -1.53 = 0.00 0.00 + -0.2x = 5.13 + -1.53 -0.2x = 5.13 + -1.53 Combine like terms: 5.13 + -1.53 = 3.6 -0.2x = 3.6 Divide each side by '-0.2'. x = -18 Simplifying x = -18
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