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Simplifying 4.5(2x + -0.3) = 1.5(3x + 0.6) Reorder the terms: 4.5(-0.3 + 2x) = 1.5(3x + 0.6) (-0.3 * 4.5 + 2x * 4.5) = 1.5(3x + 0.6) (-1.35 + 9x) = 1.5(3x + 0.6) Reorder the terms: -1.35 + 9x = 1.5(0.6 + 3x) -1.35 + 9x = (0.6 * 1.5 + 3x * 1.5) -1.35 + 9x = (0.9 + 4.5x) Solving -1.35 + 9x = 0.9 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -1.35 + 9x + -4.5x = 0.9 + 4.5x + -4.5x Combine like terms: 9x + -4.5x = 4.5x -1.35 + 4.5x = 0.9 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -1.35 + 4.5x = 0.9 + 0.0 -1.35 + 4.5x = 0.9 Add '1.35' to each side of the equation. -1.35 + 1.35 + 4.5x = 0.9 + 1.35 Combine like terms: -1.35 + 1.35 = 0.00 0.00 + 4.5x = 0.9 + 1.35 4.5x = 0.9 + 1.35 Combine like terms: 0.9 + 1.35 = 2.25 4.5x = 2.25 Divide each side by '4.5'. x = 0.5 Simplifying x = 0.5
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