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Simplifying 0.2x + 0.3(5 + -2x) = -0.2x 0.2x + (5 * 0.3 + -2x * 0.3) = -0.2x 0.2x + (1.5 + -0.6x) = -0.2x Reorder the terms: 1.5 + 0.2x + -0.6x = -0.2x Combine like terms: 0.2x + -0.6x = -0.4x 1.5 + -0.4x = -0.2x Solving 1.5 + -0.4x = -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 1.5 + -0.4x + 0.2x = -0.2x + 0.2x Combine like terms: -0.4x + 0.2x = -0.2x 1.5 + -0.2x = -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 1.5 + -0.2x = 0.0 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.2x = 0.0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.2x = 0.0 + -1.5 -0.2x = 0.0 + -1.5 Combine like terms: 0.0 + -1.5 = -1.5 -0.2x = -1.5 Divide each side by '-0.2'. x = 7.5 Simplifying x = 7.5
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