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Simplifying 8(x + -2) + -3(1 + -1x) = 9(x + 2) + 1 Reorder the terms: 8(-2 + x) + -3(1 + -1x) = 9(x + 2) + 1 (-2 * 8 + x * 8) + -3(1 + -1x) = 9(x + 2) + 1 (-16 + 8x) + -3(1 + -1x) = 9(x + 2) + 1 -16 + 8x + (1 * -3 + -1x * -3) = 9(x + 2) + 1 -16 + 8x + (-3 + 3x) = 9(x + 2) + 1 Reorder the terms: -16 + -3 + 8x + 3x = 9(x + 2) + 1 Combine like terms: -16 + -3 = -19 -19 + 8x + 3x = 9(x + 2) + 1 Combine like terms: 8x + 3x = 11x -19 + 11x = 9(x + 2) + 1 Reorder the terms: -19 + 11x = 9(2 + x) + 1 -19 + 11x = (2 * 9 + x * 9) + 1 -19 + 11x = (18 + 9x) + 1 Reorder the terms: -19 + 11x = 18 + 1 + 9x Combine like terms: 18 + 1 = 19 -19 + 11x = 19 + 9x Solving -19 + 11x = 19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -19 + 11x + -9x = 19 + 9x + -9x Combine like terms: 11x + -9x = 2x -19 + 2x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 -19 + 2x = 19 + 0 -19 + 2x = 19 Add '19' to each side of the equation. -19 + 19 + 2x = 19 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 19 + 19 2x = 19 + 19 Combine like terms: 19 + 19 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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