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Simplifying 0.9(5x + -15) = 2.2 + -1(x + 3) Reorder the terms: 0.9(-15 + 5x) = 2.2 + -1(x + 3) (-15 * 0.9 + 5x * 0.9) = 2.2 + -1(x + 3) (-13.5 + 4.5x) = 2.2 + -1(x + 3) Reorder the terms: -13.5 + 4.5x = 2.2 + -1(3 + x) -13.5 + 4.5x = 2.2 + (3 * -1 + x * -1) -13.5 + 4.5x = 2.2 + (-3 + -1x) Combine like terms: 2.2 + -3 = -0.8 -13.5 + 4.5x = -0.8 + -1x Solving -13.5 + 4.5x = -0.8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13.5 + 4.5x + x = -0.8 + -1x + x Combine like terms: 4.5x + x = 5.5x -13.5 + 5.5x = -0.8 + -1x + x Combine like terms: -1x + x = 0 -13.5 + 5.5x = -0.8 + 0 -13.5 + 5.5x = -0.8 Add '13.5' to each side of the equation. -13.5 + 13.5 + 5.5x = -0.8 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + 5.5x = -0.8 + 13.5 5.5x = -0.8 + 13.5 Combine like terms: -0.8 + 13.5 = 12.7 5.5x = 12.7 Divide each side by '5.5'. x = 2.309090909 Simplifying x = 2.309090909
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