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Simplifying 0.2(x + -3) = 4(0.2x + -0.1) Reorder the terms: 0.2(-3 + x) = 4(0.2x + -0.1) (-3 * 0.2 + x * 0.2) = 4(0.2x + -0.1) (-0.6 + 0.2x) = 4(0.2x + -0.1) Reorder the terms: -0.6 + 0.2x = 4(-0.1 + 0.2x) -0.6 + 0.2x = (-0.1 * 4 + 0.2x * 4) -0.6 + 0.2x = (-0.4 + 0.8x) Solving -0.6 + 0.2x = -0.4 + 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. -0.6 + 0.2x + -0.8x = -0.4 + 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x -0.6 + -0.6x = -0.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.6 + -0.6x = -0.4 + 0.0 -0.6 + -0.6x = -0.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.6x = -0.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.6x = -0.4 + 0.6 -0.6x = -0.4 + 0.6 Combine like terms: -0.4 + 0.6 = 0.2 -0.6x = 0.2 Divide each side by '-0.6'. x = -0.3333333333 Simplifying x = -0.3333333333
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