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Simplifying 22(3x + -1) = 5 + -1(x + 17) Reorder the terms: 22(-1 + 3x) = 5 + -1(x + 17) (-1 * 22 + 3x * 22) = 5 + -1(x + 17) (-22 + 66x) = 5 + -1(x + 17) Reorder the terms: -22 + 66x = 5 + -1(17 + x) -22 + 66x = 5 + (17 * -1 + x * -1) -22 + 66x = 5 + (-17 + -1x) Combine like terms: 5 + -17 = -12 -22 + 66x = -12 + -1x Solving -22 + 66x = -12 + -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. -22 + 66x + x = -12 + -1x + x Combine like terms: 66x + x = 67x -22 + 67x = -12 + -1x + x Combine like terms: -1x + x = 0 -22 + 67x = -12 + 0 -22 + 67x = -12 Add '22' to each side of the equation. -22 + 22 + 67x = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 67x = -12 + 22 67x = -12 + 22 Combine like terms: -12 + 22 = 10 67x = 10 Divide each side by '67'. x = 0.1492537313 Simplifying x = 0.1492537313
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