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Simplifying 0.2(3x + -4) = -0.2(3 + -4x) Reorder the terms: 0.2(-4 + 3x) = -0.2(3 + -4x) (-4 * 0.2 + 3x * 0.2) = -0.2(3 + -4x) (-0.8 + 0.6x) = -0.2(3 + -4x) -0.8 + 0.6x = (3 * -0.2 + -4x * -0.2) -0.8 + 0.6x = (-0.6 + 0.8x) Solving -0.8 + 0.6x = -0.6 + 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. -0.8 + 0.6x + -0.8x = -0.6 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x -0.8 + -0.2x = -0.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.8 + -0.2x = -0.6 + 0.0 -0.8 + -0.2x = -0.6 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.2x = -0.6 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.2x = -0.6 + 0.8 -0.2x = -0.6 + 0.8 Combine like terms: -0.6 + 0.8 = 0.2 -0.2x = 0.2 Divide each side by '-0.2'. x = -1 Simplifying x = -1
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