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Simplifying 1.5x + -0.7 = 0.6(3 + -5x) Reorder the terms: -0.7 + 1.5x = 0.6(3 + -5x) -0.7 + 1.5x = (3 * 0.6 + -5x * 0.6) -0.7 + 1.5x = (1.8 + -3x) Solving -0.7 + 1.5x = 1.8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -0.7 + 1.5x + 3x = 1.8 + -3x + 3x Combine like terms: 1.5x + 3x = 4.5x -0.7 + 4.5x = 1.8 + -3x + 3x Combine like terms: -3x + 3x = 0 -0.7 + 4.5x = 1.8 + 0 -0.7 + 4.5x = 1.8 Add '0.7' to each side of the equation. -0.7 + 0.7 + 4.5x = 1.8 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 4.5x = 1.8 + 0.7 4.5x = 1.8 + 0.7 Combine like terms: 1.8 + 0.7 = 2.5 4.5x = 2.5 Divide each side by '4.5'. x = 0.5555555556 Simplifying x = 0.5555555556
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