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Simplifying 3.7x + -27 = 0.7(x + -12) Reorder the terms: -27 + 3.7x = 0.7(x + -12) Reorder the terms: -27 + 3.7x = 0.7(-12 + x) -27 + 3.7x = (-12 * 0.7 + x * 0.7) -27 + 3.7x = (-8.4 + 0.7x) Solving -27 + 3.7x = -8.4 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -27 + 3.7x + -0.7x = -8.4 + 0.7x + -0.7x Combine like terms: 3.7x + -0.7x = 3x -27 + 3x = -8.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -27 + 3x = -8.4 + 0.0 -27 + 3x = -8.4 Add '27' to each side of the equation. -27 + 27 + 3x = -8.4 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -8.4 + 27 3x = -8.4 + 27 Combine like terms: -8.4 + 27 = 18.6 3x = 18.6 Divide each side by '3'. x = 6.2 Simplifying x = 6.2
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