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Simplifying 8(x + -7) = 6x + 74 Reorder the terms: 8(-7 + x) = 6x + 74 (-7 * 8 + x * 8) = 6x + 74 (-56 + 8x) = 6x + 74 Reorder the terms: -56 + 8x = 74 + 6x Solving -56 + 8x = 74 + 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 + 8x + -6x = 74 + 6x + -6x Combine like terms: 8x + -6x = 2x -56 + 2x = 74 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 2x = 74 + 0 -56 + 2x = 74 Add '56' to each side of the equation. -56 + 56 + 2x = 74 + 56 Combine like terms: -56 + 56 = 0 0 + 2x = 74 + 56 2x = 74 + 56 Combine like terms: 74 + 56 = 130 2x = 130 Divide each side by '2'. x = 65 Simplifying x = 65
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