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Simplifying 0.1x + -3.7 = 0.5(x + -5) Reorder the terms: -3.7 + 0.1x = 0.5(x + -5) Reorder the terms: -3.7 + 0.1x = 0.5(-5 + x) -3.7 + 0.1x = (-5 * 0.5 + x * 0.5) -3.7 + 0.1x = (-2.5 + 0.5x) Solving -3.7 + 0.1x = -2.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -3.7 + 0.1x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.1x + -0.5x = -0.4x -3.7 + -0.4x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3.7 + -0.4x = -2.5 + 0.0 -3.7 + -0.4x = -2.5 Add '3.7' to each side of the equation. -3.7 + 3.7 + -0.4x = -2.5 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + -0.4x = -2.5 + 3.7 -0.4x = -2.5 + 3.7 Combine like terms: -2.5 + 3.7 = 1.2 -0.4x = 1.2 Divide each side by '-0.4'. x = -3 Simplifying x = -3
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