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Simplifying -9(x + 6) + -1(-8x + -7) = -2x Reorder the terms: -9(6 + x) + -1(-8x + -7) = -2x (6 * -9 + x * -9) + -1(-8x + -7) = -2x (-54 + -9x) + -1(-8x + -7) = -2x Reorder the terms: -54 + -9x + -1(-7 + -8x) = -2x -54 + -9x + (-7 * -1 + -8x * -1) = -2x -54 + -9x + (7 + 8x) = -2x Reorder the terms: -54 + 7 + -9x + 8x = -2x Combine like terms: -54 + 7 = -47 -47 + -9x + 8x = -2x Combine like terms: -9x + 8x = -1x -47 + -1x = -2x Solving -47 + -1x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -47 + -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x -47 + 1x = -2x + 2x Combine like terms: -2x + 2x = 0 -47 + 1x = 0 Add '47' to each side of the equation. -47 + 47 + 1x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = 0 + 47 1x = 0 + 47 Combine like terms: 0 + 47 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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