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Simplifying 0.2x + -0.5 = 0.5 + -0.2(2x + -13) Reorder the terms: -0.5 + 0.2x = 0.5 + -0.2(2x + -13) Reorder the terms: -0.5 + 0.2x = 0.5 + -0.2(-13 + 2x) -0.5 + 0.2x = 0.5 + (-13 * -0.2 + 2x * -0.2) -0.5 + 0.2x = 0.5 + (2.6 + -0.4x) Combine like terms: 0.5 + 2.6 = 3.1 -0.5 + 0.2x = 3.1 + -0.4x Solving -0.5 + 0.2x = 3.1 + -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. -0.5 + 0.2x + 0.4x = 3.1 + -0.4x + 0.4x Combine like terms: 0.2x + 0.4x = 0.6x -0.5 + 0.6x = 3.1 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.5 + 0.6x = 3.1 + 0.0 -0.5 + 0.6x = 3.1 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.6x = 3.1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.6x = 3.1 + 0.5 0.6x = 3.1 + 0.5 Combine like terms: 3.1 + 0.5 = 3.6 0.6x = 3.6 Divide each side by '0.6'. x = 6 Simplifying x = 6
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