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Simplifying 0.4(x + -3) = 0.5x + -3 Reorder the terms: 0.4(-3 + x) = 0.5x + -3 (-3 * 0.4 + x * 0.4) = 0.5x + -3 (-1.2 + 0.4x) = 0.5x + -3 Reorder the terms: -1.2 + 0.4x = -3 + 0.5x Solving -1.2 + 0.4x = -3 + 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. -1.2 + 0.4x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x -1.2 + -0.1x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.2 + -0.1x = -3 + 0.0 -1.2 + -0.1x = -3 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.1x = -3 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.1x = -3 + 1.2 -0.1x = -3 + 1.2 Combine like terms: -3 + 1.2 = -1.8 -0.1x = -1.8 Divide each side by '-0.1'. x = 18 Simplifying x = 18
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