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Simplifying 3(1.5x + -0.6) = 2(x + -0.5) Reorder the terms: 3(-0.6 + 1.5x) = 2(x + -0.5) (-0.6 * 3 + 1.5x * 3) = 2(x + -0.5) (-1.8 + 4.5x) = 2(x + -0.5) Reorder the terms: -1.8 + 4.5x = 2(-0.5 + x) -1.8 + 4.5x = (-0.5 * 2 + x * 2) -1.8 + 4.5x = (-1 + 2x) Solving -1.8 + 4.5x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1.8 + 4.5x + -2x = -1 + 2x + -2x Combine like terms: 4.5x + -2x = 2.5x -1.8 + 2.5x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.8 + 2.5x = -1 + 0 -1.8 + 2.5x = -1 Add '1.8' to each side of the equation. -1.8 + 1.8 + 2.5x = -1 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 2.5x = -1 + 1.8 2.5x = -1 + 1.8 Combine like terms: -1 + 1.8 = 0.8 2.5x = 0.8 Divide each side by '2.5'. x = 0.32 Simplifying x = 0.32
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