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Simplifying 0.3(x + -12) = 0.6x + -6 Reorder the terms: 0.3(-12 + x) = 0.6x + -6 (-12 * 0.3 + x * 0.3) = 0.6x + -6 (-3.6 + 0.3x) = 0.6x + -6 Reorder the terms: -3.6 + 0.3x = -6 + 0.6x Solving -3.6 + 0.3x = -6 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -3.6 + 0.3x + -0.6x = -6 + 0.6x + -0.6x Combine like terms: 0.3x + -0.6x = -0.3x -3.6 + -0.3x = -6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -3.6 + -0.3x = -6 + 0.0 -3.6 + -0.3x = -6 Add '3.6' to each side of the equation. -3.6 + 3.6 + -0.3x = -6 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -0.3x = -6 + 3.6 -0.3x = -6 + 3.6 Combine like terms: -6 + 3.6 = -2.4 -0.3x = -2.4 Divide each side by '-0.3'. x = 8 Simplifying x = 8
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