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Simplifying 6(x + -8) + -1 = 8(x + 4) Reorder the terms: 6(-8 + x) + -1 = 8(x + 4) (-8 * 6 + x * 6) + -1 = 8(x + 4) (-48 + 6x) + -1 = 8(x + 4) Reorder the terms: -48 + -1 + 6x = 8(x + 4) Combine like terms: -48 + -1 = -49 -49 + 6x = 8(x + 4) Reorder the terms: -49 + 6x = 8(4 + x) -49 + 6x = (4 * 8 + x * 8) -49 + 6x = (32 + 8x) Solving -49 + 6x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -49 + 6x + -8x = 32 + 8x + -8x Combine like terms: 6x + -8x = -2x -49 + -2x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -49 + -2x = 32 + 0 -49 + -2x = 32 Add '49' to each side of the equation. -49 + 49 + -2x = 32 + 49 Combine like terms: -49 + 49 = 0 0 + -2x = 32 + 49 -2x = 32 + 49 Combine like terms: 32 + 49 = 81 -2x = 81 Divide each side by '-2'. x = -40.5 Simplifying x = -40.5
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