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Simplifying 4(x + -6) = 0.2(2x + -12) Reorder the terms: 4(-6 + x) = 0.2(2x + -12) (-6 * 4 + x * 4) = 0.2(2x + -12) (-24 + 4x) = 0.2(2x + -12) Reorder the terms: -24 + 4x = 0.2(-12 + 2x) -24 + 4x = (-12 * 0.2 + 2x * 0.2) -24 + 4x = (-2.4 + 0.4x) Solving -24 + 4x = -2.4 + 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. -24 + 4x + -0.4x = -2.4 + 0.4x + -0.4x Combine like terms: 4x + -0.4x = 3.6x -24 + 3.6x = -2.4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -24 + 3.6x = -2.4 + 0.0 -24 + 3.6x = -2.4 Add '24' to each side of the equation. -24 + 24 + 3.6x = -2.4 + 24 Combine like terms: -24 + 24 = 0 0 + 3.6x = -2.4 + 24 3.6x = -2.4 + 24 Combine like terms: -2.4 + 24 = 21.6 3.6x = 21.6 Divide each side by '3.6'. x = 6 Simplifying x = 6
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