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Simplifying -0.6(x + 8) = -0.2(x + 3) Reorder the terms: -0.6(8 + x) = -0.2(x + 3) (8 * -0.6 + x * -0.6) = -0.2(x + 3) (-4.8 + -0.6x) = -0.2(x + 3) Reorder the terms: -4.8 + -0.6x = -0.2(3 + x) -4.8 + -0.6x = (3 * -0.2 + x * -0.2) -4.8 + -0.6x = (-0.6 + -0.2x) Solving -4.8 + -0.6x = -0.6 + -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. -4.8 + -0.6x + 0.2x = -0.6 + -0.2x + 0.2x Combine like terms: -0.6x + 0.2x = -0.4x -4.8 + -0.4x = -0.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -4.8 + -0.4x = -0.6 + 0.0 -4.8 + -0.4x = -0.6 Add '4.8' to each side of the equation. -4.8 + 4.8 + -0.4x = -0.6 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + -0.4x = -0.6 + 4.8 -0.4x = -0.6 + 4.8 Combine like terms: -0.6 + 4.8 = 4.2 -0.4x = 4.2 Divide each side by '-0.4'. x = -10.5 Simplifying x = -10.5
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