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Simplifying 0.6(x + -12) = x + 8 Reorder the terms: 0.6(-12 + x) = x + 8 (-12 * 0.6 + x * 0.6) = x + 8 (-7.2 + 0.6x) = x + 8 Reorder the terms: -7.2 + 0.6x = 8 + x Solving -7.2 + 0.6x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7.2 + 0.6x + -1x = 8 + x + -1x Combine like terms: 0.6x + -1x = -0.4x -7.2 + -0.4x = 8 + x + -1x Combine like terms: x + -1x = 0 -7.2 + -0.4x = 8 + 0 -7.2 + -0.4x = 8 Add '7.2' to each side of the equation. -7.2 + 7.2 + -0.4x = 8 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + -0.4x = 8 + 7.2 -0.4x = 8 + 7.2 Combine like terms: 8 + 7.2 = 15.2 -0.4x = 15.2 Divide each side by '-0.4'. x = -38 Simplifying x = -38
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