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Simplifying 7(3x + -8) = 2(6x + -1) Reorder the terms: 7(-8 + 3x) = 2(6x + -1) (-8 * 7 + 3x * 7) = 2(6x + -1) (-56 + 21x) = 2(6x + -1) Reorder the terms: -56 + 21x = 2(-1 + 6x) -56 + 21x = (-1 * 2 + 6x * 2) -56 + 21x = (-2 + 12x) Solving -56 + 21x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -56 + 21x + -12x = -2 + 12x + -12x Combine like terms: 21x + -12x = 9x -56 + 9x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -56 + 9x = -2 + 0 -56 + 9x = -2 Add '56' to each side of the equation. -56 + 56 + 9x = -2 + 56 Combine like terms: -56 + 56 = 0 0 + 9x = -2 + 56 9x = -2 + 56 Combine like terms: -2 + 56 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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