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Simplifying 0.2(6x + 1) = 0.4(2x + -0.5) Reorder the terms: 0.2(1 + 6x) = 0.4(2x + -0.5) (1 * 0.2 + 6x * 0.2) = 0.4(2x + -0.5) (0.2 + 1.2x) = 0.4(2x + -0.5) Reorder the terms: 0.2 + 1.2x = 0.4(-0.5 + 2x) 0.2 + 1.2x = (-0.5 * 0.4 + 2x * 0.4) 0.2 + 1.2x = (-0.2 + 0.8x) Solving 0.2 + 1.2x = -0.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.2 + 1.2x + -0.8x = -0.2 + 0.8x + -0.8x Combine like terms: 1.2x + -0.8x = 0.4x 0.2 + 0.4x = -0.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.2 + 0.4x = -0.2 + 0.0 0.2 + 0.4x = -0.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.4x = -0.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.4x = -0.2 + -0.2 0.4x = -0.2 + -0.2 Combine like terms: -0.2 + -0.2 = -0.4 0.4x = -0.4 Divide each side by '0.4'. x = -1 Simplifying x = -1
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