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Simplifying -0.5(x + -3) = 0.3(2x + 1) Reorder the terms: -0.5(-3 + x) = 0.3(2x + 1) (-3 * -0.5 + x * -0.5) = 0.3(2x + 1) (1.5 + -0.5x) = 0.3(2x + 1) Reorder the terms: 1.5 + -0.5x = 0.3(1 + 2x) 1.5 + -0.5x = (1 * 0.3 + 2x * 0.3) 1.5 + -0.5x = (0.3 + 0.6x) Solving 1.5 + -0.5x = 0.3 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 1.5 + -0.5x + -0.6x = 0.3 + 0.6x + -0.6x Combine like terms: -0.5x + -0.6x = -1.1x 1.5 + -1.1x = 0.3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.5 + -1.1x = 0.3 + 0.0 1.5 + -1.1x = 0.3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1.1x = 0.3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.1x = 0.3 + -1.5 -1.1x = 0.3 + -1.5 Combine like terms: 0.3 + -1.5 = -1.2 -1.1x = -1.2 Divide each side by '-1.1'. x = 1.090909091 Simplifying x = 1.090909091
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