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Simplifying 0.1x + -3.2 = 0.4(x + -5) Reorder the terms: -3.2 + 0.1x = 0.4(x + -5) Reorder the terms: -3.2 + 0.1x = 0.4(-5 + x) -3.2 + 0.1x = (-5 * 0.4 + x * 0.4) -3.2 + 0.1x = (-2 + 0.4x) Solving -3.2 + 0.1x = -2 + 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. -3.2 + 0.1x + -0.4x = -2 + 0.4x + -0.4x Combine like terms: 0.1x + -0.4x = -0.3x -3.2 + -0.3x = -2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -3.2 + -0.3x = -2 + 0.0 -3.2 + -0.3x = -2 Add '3.2' to each side of the equation. -3.2 + 3.2 + -0.3x = -2 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -0.3x = -2 + 3.2 -0.3x = -2 + 3.2 Combine like terms: -2 + 3.2 = 1.2 -0.3x = 1.2 Divide each side by '-0.3'. x = -4 Simplifying x = -4
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