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Simplifying 4.5x + 1.5x + -5 = 1.5(1.5x + 0.5) Reorder the terms: -5 + 4.5x + 1.5x = 1.5(1.5x + 0.5) Combine like terms: 4.5x + 1.5x = 6x -5 + 6x = 1.5(1.5x + 0.5) Reorder the terms: -5 + 6x = 1.5(0.5 + 1.5x) -5 + 6x = (0.5 * 1.5 + 1.5x * 1.5) -5 + 6x = (0.75 + 2.25x) Solving -5 + 6x = 0.75 + 2.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25x' to each side of the equation. -5 + 6x + -2.25x = 0.75 + 2.25x + -2.25x Combine like terms: 6x + -2.25x = 3.75x -5 + 3.75x = 0.75 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 -5 + 3.75x = 0.75 + 0.00 -5 + 3.75x = 0.75 Add '5' to each side of the equation. -5 + 5 + 3.75x = 0.75 + 5 Combine like terms: -5 + 5 = 0 0 + 3.75x = 0.75 + 5 3.75x = 0.75 + 5 Combine like terms: 0.75 + 5 = 5.75 3.75x = 5.75 Divide each side by '3.75'. x = 1.533333333 Simplifying x = 1.533333333
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