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Simplifying 0.3(2x + -3) = 0.2x + 0.9 Reorder the terms: 0.3(-3 + 2x) = 0.2x + 0.9 (-3 * 0.3 + 2x * 0.3) = 0.2x + 0.9 (-0.9 + 0.6x) = 0.2x + 0.9 Reorder the terms: -0.9 + 0.6x = 0.9 + 0.2x Solving -0.9 + 0.6x = 0.9 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.9 + 0.6x + -0.2x = 0.9 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x -0.9 + 0.4x = 0.9 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.9 + 0.4x = 0.9 + 0.0 -0.9 + 0.4x = 0.9 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.4x = 0.9 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.4x = 0.9 + 0.9 0.4x = 0.9 + 0.9 Combine like terms: 0.9 + 0.9 = 1.8 0.4x = 1.8 Divide each side by '0.4'. x = 4.5 Simplifying x = 4.5
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