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Simplifying 8x + -2 = 9(x + -6) Reorder the terms: -2 + 8x = 9(x + -6) Reorder the terms: -2 + 8x = 9(-6 + x) -2 + 8x = (-6 * 9 + x * 9) -2 + 8x = (-54 + 9x) Solving -2 + 8x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 8x + -9x = -54 + 9x + -9x Combine like terms: 8x + -9x = -1x -2 + -1x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -1x = -54 + 0 -2 + -1x = -54 Add '2' to each side of the equation. -2 + 2 + -1x = -54 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -54 + 2 -1x = -54 + 2 Combine like terms: -54 + 2 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52
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