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Simplifying 0.4(x + -5) = 0.2(10 + -12) + x Reorder the terms: 0.4(-5 + x) = 0.2(10 + -12) + x (-5 * 0.4 + x * 0.4) = 0.2(10 + -12) + x (-2 + 0.4x) = 0.2(10 + -12) + x Combine like terms: 10 + -12 = -2 -2 + 0.4x = 0.2(-2) + x Multiply 0.2 * -2 -2 + 0.4x = -0.4 + x Solving -2 + 0.4x = -0.4 + 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. -2 + 0.4x + -1x = -0.4 + x + -1x Combine like terms: 0.4x + -1x = -0.6x -2 + -0.6x = -0.4 + x + -1x Combine like terms: x + -1x = 0 -2 + -0.6x = -0.4 + 0 -2 + -0.6x = -0.4 Add '2' to each side of the equation. -2 + 2 + -0.6x = -0.4 + 2 Combine like terms: -2 + 2 = 0 0 + -0.6x = -0.4 + 2 -0.6x = -0.4 + 2 Combine like terms: -0.4 + 2 = 1.6 -0.6x = 1.6 Divide each side by '-0.6'. x = -2.666666667 Simplifying x = -2.666666667
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