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Simplifying 8x + -5(2x + 3) + -1(1 + -6x) = 8 + (4 + 6x) Reorder the terms: 8x + -5(3 + 2x) + -1(1 + -6x) = 8 + (4 + 6x) 8x + (3 * -5 + 2x * -5) + -1(1 + -6x) = 8 + (4 + 6x) 8x + (-15 + -10x) + -1(1 + -6x) = 8 + (4 + 6x) 8x + -15 + -10x + (1 * -1 + -6x * -1) = 8 + (4 + 6x) 8x + -15 + -10x + (-1 + 6x) = 8 + (4 + 6x) Reorder the terms: -15 + -1 + 8x + -10x + 6x = 8 + (4 + 6x) Combine like terms: -15 + -1 = -16 -16 + 8x + -10x + 6x = 8 + (4 + 6x) Combine like terms: 8x + -10x = -2x -16 + -2x + 6x = 8 + (4 + 6x) Combine like terms: -2x + 6x = 4x -16 + 4x = 8 + (4 + 6x) Remove parenthesis around (4 + 6x) -16 + 4x = 8 + 4 + 6x Combine like terms: 8 + 4 = 12 -16 + 4x = 12 + 6x Solving -16 + 4x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -16 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -2x = 12 + 0 -16 + -2x = 12 Add '16' to each side of the equation. -16 + 16 + -2x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 12 + 16 -2x = 12 + 16 Combine like terms: 12 + 16 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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