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Simplifying 3(x + -5.2) = 5x + 3.7 Reorder the terms: 3(-5.2 + x) = 5x + 3.7 (-5.2 * 3 + x * 3) = 5x + 3.7 (-15.6 + 3x) = 5x + 3.7 Reorder the terms: -15.6 + 3x = 3.7 + 5x Solving -15.6 + 3x = 3.7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15.6 + 3x + -5x = 3.7 + 5x + -5x Combine like terms: 3x + -5x = -2x -15.6 + -2x = 3.7 + 5x + -5x Combine like terms: 5x + -5x = 0 -15.6 + -2x = 3.7 + 0 -15.6 + -2x = 3.7 Add '15.6' to each side of the equation. -15.6 + 15.6 + -2x = 3.7 + 15.6 Combine like terms: -15.6 + 15.6 = 0.0 0.0 + -2x = 3.7 + 15.6 -2x = 3.7 + 15.6 Combine like terms: 3.7 + 15.6 = 19.3 -2x = 19.3 Divide each side by '-2'. x = -9.65 Simplifying x = -9.65
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