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Simplifying 0.3(2x + -3) + -0.5(x + -2) = 0.3 Reorder the terms: 0.3(-3 + 2x) + -0.5(x + -2) = 0.3 (-3 * 0.3 + 2x * 0.3) + -0.5(x + -2) = 0.3 (-0.9 + 0.6x) + -0.5(x + -2) = 0.3 Reorder the terms: -0.9 + 0.6x + -0.5(-2 + x) = 0.3 -0.9 + 0.6x + (-2 * -0.5 + x * -0.5) = 0.3 -0.9 + 0.6x + (1 + -0.5x) = 0.3 Reorder the terms: -0.9 + 1 + 0.6x + -0.5x = 0.3 Combine like terms: -0.9 + 1 = 0.1 0.1 + 0.6x + -0.5x = 0.3 Combine like terms: 0.6x + -0.5x = 0.1x 0.1 + 0.1x = 0.3 Solving 0.1 + 0.1x = 0.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.1x = 0.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.1x = 0.3 + -0.1 0.1x = 0.3 + -0.1 Combine like terms: 0.3 + -0.1 = 0.2 0.1x = 0.2 Divide each side by '0.1'. x = 2 Simplifying x = 2
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