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Simplifying 0.5x + -3 = 0.3(2x + -3) Reorder the terms: -3 + 0.5x = 0.3(2x + -3) Reorder the terms: -3 + 0.5x = 0.3(-3 + 2x) -3 + 0.5x = (-3 * 0.3 + 2x * 0.3) -3 + 0.5x = (-0.9 + 0.6x) Solving -3 + 0.5x = -0.9 + 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. -3 + 0.5x + -0.6x = -0.9 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x -3 + -0.1x = -0.9 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -3 + -0.1x = -0.9 + 0.0 -3 + -0.1x = -0.9 Add '3' to each side of the equation. -3 + 3 + -0.1x = -0.9 + 3 Combine like terms: -3 + 3 = 0 0 + -0.1x = -0.9 + 3 -0.1x = -0.9 + 3 Combine like terms: -0.9 + 3 = 2.1 -0.1x = 2.1 Divide each side by '-0.1'. x = -21 Simplifying x = -21
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