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Simplifying 7(x + -8) = 6x + -54 Reorder the terms: 7(-8 + x) = 6x + -54 (-8 * 7 + x * 7) = 6x + -54 (-56 + 7x) = 6x + -54 Reorder the terms: -56 + 7x = -54 + 6x Solving -56 + 7x = -54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -56 + 7x + -6x = -54 + 6x + -6x Combine like terms: 7x + -6x = 1x -56 + 1x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 1x = -54 + 0 -56 + 1x = -54 Add '56' to each side of the equation. -56 + 56 + 1x = -54 + 56 Combine like terms: -56 + 56 = 0 0 + 1x = -54 + 56 1x = -54 + 56 Combine like terms: -54 + 56 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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