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Simplifying 0.2x + 0.6 + -1x = -4(-0.1 + 0.1x) Reorder the terms: 0.6 + 0.2x + -1x = -4(-0.1 + 0.1x) Combine like terms: 0.2x + -1x = -0.8x 0.6 + -0.8x = -4(-0.1 + 0.1x) 0.6 + -0.8x = (-0.1 * -4 + 0.1x * -4) 0.6 + -0.8x = (0.4 + -0.4x) Solving 0.6 + -0.8x = 0.4 + -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. 0.6 + -0.8x + 0.4x = 0.4 + -0.4x + 0.4x Combine like terms: -0.8x + 0.4x = -0.4x 0.6 + -0.4x = 0.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.6 + -0.4x = 0.4 + 0.0 0.6 + -0.4x = 0.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.4x = 0.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.4x = 0.4 + -0.6 -0.4x = 0.4 + -0.6 Combine like terms: 0.4 + -0.6 = -0.2 -0.4x = -0.2 Divide each side by '-0.4'. x = 0.5 Simplifying x = 0.5
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