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Simplifying 6(x + -6) = 8(x + -1) Reorder the terms: 6(-6 + x) = 8(x + -1) (-6 * 6 + x * 6) = 8(x + -1) (-36 + 6x) = 8(x + -1) Reorder the terms: -36 + 6x = 8(-1 + x) -36 + 6x = (-1 * 8 + x * 8) -36 + 6x = (-8 + 8x) Solving -36 + 6x = -8 + 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. -36 + 6x + -8x = -8 + 8x + -8x Combine like terms: 6x + -8x = -2x -36 + -2x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -2x = -8 + 0 -36 + -2x = -8 Add '36' to each side of the equation. -36 + 36 + -2x = -8 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -8 + 36 -2x = -8 + 36 Combine like terms: -8 + 36 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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