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Simplifying 1.5(6x + 3) = 4x + 2 Reorder the terms: 1.5(3 + 6x) = 4x + 2 (3 * 1.5 + 6x * 1.5) = 4x + 2 (4.5 + 9x) = 4x + 2 Reorder the terms: 4.5 + 9x = 2 + 4x Solving 4.5 + 9x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4.5 + 9x + -4x = 2 + 4x + -4x Combine like terms: 9x + -4x = 5x 4.5 + 5x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 4.5 + 5x = 2 + 0 4.5 + 5x = 2 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 5x = 2 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 5x = 2 + -4.5 5x = 2 + -4.5 Combine like terms: 2 + -4.5 = -2.5 5x = -2.5 Divide each side by '5'. x = -0.5 Simplifying x = -0.5
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