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Simplifying 0.2x + 1.3 = 0.6x + -1.5 Reorder the terms: 1.3 + 0.2x = 0.6x + -1.5 Reorder the terms: 1.3 + 0.2x = -1.5 + 0.6x Solving 1.3 + 0.2x = -1.5 + 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. 1.3 + 0.2x + -0.6x = -1.5 + 0.6x + -0.6x Combine like terms: 0.2x + -0.6x = -0.4x 1.3 + -0.4x = -1.5 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.3 + -0.4x = -1.5 + 0.0 1.3 + -0.4x = -1.5 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -0.4x = -1.5 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -0.4x = -1.5 + -1.3 -0.4x = -1.5 + -1.3 Combine like terms: -1.5 + -1.3 = -2.8 -0.4x = -2.8 Divide each side by '-0.4'. x = 7 Simplifying x = 7
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