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Simplifying 10x + -17 + -1(2x + -3) = (2x + -1) + 40 + -5 Reorder the terms: 10x + -17 + -1(-3 + 2x) = (2x + -1) + 40 + -5 10x + -17 + (-3 * -1 + 2x * -1) = (2x + -1) + 40 + -5 10x + -17 + (3 + -2x) = (2x + -1) + 40 + -5 Reorder the terms: -17 + 3 + 10x + -2x = (2x + -1) + 40 + -5 Combine like terms: -17 + 3 = -14 -14 + 10x + -2x = (2x + -1) + 40 + -5 Combine like terms: 10x + -2x = 8x -14 + 8x = (2x + -1) + 40 + -5 Reorder the terms: -14 + 8x = (-1 + 2x) + 40 + -5 Remove parenthesis around (-1 + 2x) -14 + 8x = -1 + 2x + 40 + -5 Reorder the terms: -14 + 8x = -1 + 40 + -5 + 2x Combine like terms: -1 + 40 = 39 -14 + 8x = 39 + -5 + 2x Combine like terms: 39 + -5 = 34 -14 + 8x = 34 + 2x Solving -14 + 8x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 8x + -2x = 34 + 2x + -2x Combine like terms: 8x + -2x = 6x -14 + 6x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 6x = 34 + 0 -14 + 6x = 34 Add '14' to each side of the equation. -14 + 14 + 6x = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 34 + 14 6x = 34 + 14 Combine like terms: 34 + 14 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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