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Simplifying 10(3x + -1) + 6(x + -2) = 17 Reorder the terms: 10(-1 + 3x) + 6(x + -2) = 17 (-1 * 10 + 3x * 10) + 6(x + -2) = 17 (-10 + 30x) + 6(x + -2) = 17 Reorder the terms: -10 + 30x + 6(-2 + x) = 17 -10 + 30x + (-2 * 6 + x * 6) = 17 -10 + 30x + (-12 + 6x) = 17 Reorder the terms: -10 + -12 + 30x + 6x = 17 Combine like terms: -10 + -12 = -22 -22 + 30x + 6x = 17 Combine like terms: 30x + 6x = 36x -22 + 36x = 17 Solving -22 + 36x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 36x = 17 + 22 Combine like terms: -22 + 22 = 0 0 + 36x = 17 + 22 36x = 17 + 22 Combine like terms: 17 + 22 = 39 36x = 39 Divide each side by '36'. x = 1.083333333 Simplifying x = 1.083333333
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