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Simplifying 4.5(x + -2) + 1.5x = (3x + -4) + -1 Reorder the terms: 4.5(-2 + x) + 1.5x = (3x + -4) + -1 (-2 * 4.5 + x * 4.5) + 1.5x = (3x + -4) + -1 (-9 + 4.5x) + 1.5x = (3x + -4) + -1 Combine like terms: 4.5x + 1.5x = 6x -9 + 6x = (3x + -4) + -1 Reorder the terms: -9 + 6x = (-4 + 3x) + -1 Remove parenthesis around (-4 + 3x) -9 + 6x = -4 + 3x + -1 Reorder the terms: -9 + 6x = -4 + -1 + 3x Combine like terms: -4 + -1 = -5 -9 + 6x = -5 + 3x Solving -9 + 6x = -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. -9 + 6x + -3x = -5 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = -5 + 0 -9 + 3x = -5 Add '9' to each side of the equation. -9 + 9 + 3x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -5 + 9 3x = -5 + 9 Combine like terms: -5 + 9 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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