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Simplifying 0.6(x + -12) = 0.4(0.7 + x) Reorder the terms: 0.6(-12 + x) = 0.4(0.7 + x) (-12 * 0.6 + x * 0.6) = 0.4(0.7 + x) (-7.2 + 0.6x) = 0.4(0.7 + x) -7.2 + 0.6x = (0.7 * 0.4 + x * 0.4) -7.2 + 0.6x = (0.28 + 0.4x) Solving -7.2 + 0.6x = 0.28 + 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. -7.2 + 0.6x + -0.4x = 0.28 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x -7.2 + 0.2x = 0.28 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -7.2 + 0.2x = 0.28 + 0.0 -7.2 + 0.2x = 0.28 Add '7.2' to each side of the equation. -7.2 + 7.2 + 0.2x = 0.28 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 0.2x = 0.28 + 7.2 0.2x = 0.28 + 7.2 Combine like terms: 0.28 + 7.2 = 7.48 0.2x = 7.48 Divide each side by '0.2'. x = 37.4 Simplifying x = 37.4
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