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Simplifying -2(x + 6) + 1 = -8(2x + -1) + -5x Reorder the terms: -2(6 + x) + 1 = -8(2x + -1) + -5x (6 * -2 + x * -2) + 1 = -8(2x + -1) + -5x (-12 + -2x) + 1 = -8(2x + -1) + -5x Reorder the terms: -12 + 1 + -2x = -8(2x + -1) + -5x Combine like terms: -12 + 1 = -11 -11 + -2x = -8(2x + -1) + -5x Reorder the terms: -11 + -2x = -8(-1 + 2x) + -5x -11 + -2x = (-1 * -8 + 2x * -8) + -5x -11 + -2x = (8 + -16x) + -5x Combine like terms: -16x + -5x = -21x -11 + -2x = 8 + -21x Solving -11 + -2x = 8 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -11 + -2x + 21x = 8 + -21x + 21x Combine like terms: -2x + 21x = 19x -11 + 19x = 8 + -21x + 21x Combine like terms: -21x + 21x = 0 -11 + 19x = 8 + 0 -11 + 19x = 8 Add '11' to each side of the equation. -11 + 11 + 19x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 19x = 8 + 11 19x = 8 + 11 Combine like terms: 8 + 11 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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