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Simplifying 0.5(x + -3) = 0.3(x + -2) Reorder the terms: 0.5(-3 + x) = 0.3(x + -2) (-3 * 0.5 + x * 0.5) = 0.3(x + -2) (-1.5 + 0.5x) = 0.3(x + -2) Reorder the terms: -1.5 + 0.5x = 0.3(-2 + x) -1.5 + 0.5x = (-2 * 0.3 + x * 0.3) -1.5 + 0.5x = (-0.6 + 0.3x) Solving -1.5 + 0.5x = -0.6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -1.5 + 0.5x + -0.3x = -0.6 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -1.5 + 0.2x = -0.6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -1.5 + 0.2x = -0.6 + 0.0 -1.5 + 0.2x = -0.6 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.2x = -0.6 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.2x = -0.6 + 1.5 0.2x = -0.6 + 1.5 Combine like terms: -0.6 + 1.5 = 0.9 0.2x = 0.9 Divide each side by '0.2'. x = 4.5 Simplifying x = 4.5
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