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Simplifying 8(x + 2) + -2(x + -9) + 11 = -1(2 + -6x) + -1(-1x + 3) Reorder the terms: 8(2 + x) + -2(x + -9) + 11 = -1(2 + -6x) + -1(-1x + 3) (2 * 8 + x * 8) + -2(x + -9) + 11 = -1(2 + -6x) + -1(-1x + 3) (16 + 8x) + -2(x + -9) + 11 = -1(2 + -6x) + -1(-1x + 3) Reorder the terms: 16 + 8x + -2(-9 + x) + 11 = -1(2 + -6x) + -1(-1x + 3) 16 + 8x + (-9 * -2 + x * -2) + 11 = -1(2 + -6x) + -1(-1x + 3) 16 + 8x + (18 + -2x) + 11 = -1(2 + -6x) + -1(-1x + 3) Reorder the terms: 16 + 18 + 11 + 8x + -2x = -1(2 + -6x) + -1(-1x + 3) Combine like terms: 16 + 18 = 34 34 + 11 + 8x + -2x = -1(2 + -6x) + -1(-1x + 3) Combine like terms: 34 + 11 = 45 45 + 8x + -2x = -1(2 + -6x) + -1(-1x + 3) Combine like terms: 8x + -2x = 6x 45 + 6x = -1(2 + -6x) + -1(-1x + 3) 45 + 6x = (2 * -1 + -6x * -1) + -1(-1x + 3) 45 + 6x = (-2 + 6x) + -1(-1x + 3) Reorder the terms: 45 + 6x = -2 + 6x + -1(3 + -1x) 45 + 6x = -2 + 6x + (3 * -1 + -1x * -1) 45 + 6x = -2 + 6x + (-3 + 1x) Reorder the terms: 45 + 6x = -2 + -3 + 6x + 1x Combine like terms: -2 + -3 = -5 45 + 6x = -5 + 6x + 1x Combine like terms: 6x + 1x = 7x 45 + 6x = -5 + 7x Solving 45 + 6x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + 6x + -7x = -5 + 7x + -7x Combine like terms: 6x + -7x = -1x 45 + -1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -1x = -5 + 0 45 + -1x = -5 Add '-45' to each side of the equation. 45 + -45 + -1x = -5 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = -5 + -45 -1x = -5 + -45 Combine like terms: -5 + -45 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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