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Simplifying 1.5(2x + -4) = 1.5x + 3 Reorder the terms: 1.5(-4 + 2x) = 1.5x + 3 (-4 * 1.5 + 2x * 1.5) = 1.5x + 3 (-6 + 3x) = 1.5x + 3 Reorder the terms: -6 + 3x = 3 + 1.5x Solving -6 + 3x = 3 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -6 + 3x + -1.5x = 3 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -6 + 1.5x = 3 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -6 + 1.5x = 3 + 0.0 -6 + 1.5x = 3 Add '6' to each side of the equation. -6 + 6 + 1.5x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 1.5x = 3 + 6 1.5x = 3 + 6 Combine like terms: 3 + 6 = 9 1.5x = 9 Divide each side by '1.5'. x = 6 Simplifying x = 6
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