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Simplifying (6x + -3) + -1(5x + -1) = (8x + -9) + -1(9x + 10) Reorder the terms: (-3 + 6x) + -1(5x + -1) = (8x + -9) + -1(9x + 10) Remove parenthesis around (-3 + 6x) -3 + 6x + -1(5x + -1) = (8x + -9) + -1(9x + 10) Reorder the terms: -3 + 6x + -1(-1 + 5x) = (8x + -9) + -1(9x + 10) -3 + 6x + (-1 * -1 + 5x * -1) = (8x + -9) + -1(9x + 10) -3 + 6x + (1 + -5x) = (8x + -9) + -1(9x + 10) Reorder the terms: -3 + 1 + 6x + -5x = (8x + -9) + -1(9x + 10) Combine like terms: -3 + 1 = -2 -2 + 6x + -5x = (8x + -9) + -1(9x + 10) Combine like terms: 6x + -5x = 1x -2 + 1x = (8x + -9) + -1(9x + 10) Reorder the terms: -2 + 1x = (-9 + 8x) + -1(9x + 10) Remove parenthesis around (-9 + 8x) -2 + 1x = -9 + 8x + -1(9x + 10) Reorder the terms: -2 + 1x = -9 + 8x + -1(10 + 9x) -2 + 1x = -9 + 8x + (10 * -1 + 9x * -1) -2 + 1x = -9 + 8x + (-10 + -9x) Reorder the terms: -2 + 1x = -9 + -10 + 8x + -9x Combine like terms: -9 + -10 = -19 -2 + 1x = -19 + 8x + -9x Combine like terms: 8x + -9x = -1x -2 + 1x = -19 + -1x Solving -2 + 1x = -19 + -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. -2 + 1x + x = -19 + -1x + x Combine like terms: 1x + x = 2x -2 + 2x = -19 + -1x + x Combine like terms: -1x + x = 0 -2 + 2x = -19 + 0 -2 + 2x = -19 Add '2' to each side of the equation. -2 + 2 + 2x = -19 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -19 + 2 2x = -19 + 2 Combine like terms: -19 + 2 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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