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Simplifying 4.5x + 1.5x + -5 = 1.5(1.5x + 0.5x) Reorder the terms: -5 + 4.5x + 1.5x = 1.5(1.5x + 0.5x) Combine like terms: 4.5x + 1.5x = 6x -5 + 6x = 1.5(1.5x + 0.5x) Combine like terms: 1.5x + 0.5x = 2x -5 + 6x = 1.5(2x) Remove parenthesis around (2x) -5 + 6x = 1.5 * 2x Multiply 1.5 * 2 -5 + 6x = 3x Solving -5 + 6x = 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. -5 + 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x -5 + 3x = 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 3x = 0 Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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