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Simplifying 4.5(x + -2) + 1.5 = (3x + -4) + -1 Reorder the terms: 4.5(-2 + x) + 1.5 = (3x + -4) + -1 (-2 * 4.5 + x * 4.5) + 1.5 = (3x + -4) + -1 (-9 + 4.5x) + 1.5 = (3x + -4) + -1 Reorder the terms: -9 + 1.5 + 4.5x = (3x + -4) + -1 Combine like terms: -9 + 1.5 = -7.5 -7.5 + 4.5x = (3x + -4) + -1 Reorder the terms: -7.5 + 4.5x = (-4 + 3x) + -1 Remove parenthesis around (-4 + 3x) -7.5 + 4.5x = -4 + 3x + -1 Reorder the terms: -7.5 + 4.5x = -4 + -1 + 3x Combine like terms: -4 + -1 = -5 -7.5 + 4.5x = -5 + 3x Solving -7.5 + 4.5x = -5 + 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. -7.5 + 4.5x + -3x = -5 + 3x + -3x Combine like terms: 4.5x + -3x = 1.5x -7.5 + 1.5x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -7.5 + 1.5x = -5 + 0 -7.5 + 1.5x = -5 Add '7.5' to each side of the equation. -7.5 + 7.5 + 1.5x = -5 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 1.5x = -5 + 7.5 1.5x = -5 + 7.5 Combine like terms: -5 + 7.5 = 2.5 1.5x = 2.5 Divide each side by '1.5'. x = 1.666666667 Simplifying x = 1.666666667
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