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Simplifying 6(x + -9) = 8(x + -8) Reorder the terms: 6(-9 + x) = 8(x + -8) (-9 * 6 + x * 6) = 8(x + -8) (-54 + 6x) = 8(x + -8) Reorder the terms: -54 + 6x = 8(-8 + x) -54 + 6x = (-8 * 8 + x * 8) -54 + 6x = (-64 + 8x) Solving -54 + 6x = -64 + 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. -54 + 6x + -8x = -64 + 8x + -8x Combine like terms: 6x + -8x = -2x -54 + -2x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 -54 + -2x = -64 + 0 -54 + -2x = -64 Add '54' to each side of the equation. -54 + 54 + -2x = -64 + 54 Combine like terms: -54 + 54 = 0 0 + -2x = -64 + 54 -2x = -64 + 54 Combine like terms: -64 + 54 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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