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Simplifying 3(7x + -1) + 8(3 + 7x) = (-15 + 78x) Reorder the terms: 3(-1 + 7x) + 8(3 + 7x) = (-15 + 78x) (-1 * 3 + 7x * 3) + 8(3 + 7x) = (-15 + 78x) (-3 + 21x) + 8(3 + 7x) = (-15 + 78x) -3 + 21x + (3 * 8 + 7x * 8) = (-15 + 78x) -3 + 21x + (24 + 56x) = (-15 + 78x) Reorder the terms: -3 + 24 + 21x + 56x = (-15 + 78x) Combine like terms: -3 + 24 = 21 21 + 21x + 56x = (-15 + 78x) Combine like terms: 21x + 56x = 77x 21 + 77x = (-15 + 78x) Remove parenthesis around (-15 + 78x) 21 + 77x = -15 + 78x Solving 21 + 77x = -15 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. 21 + 77x + -78x = -15 + 78x + -78x Combine like terms: 77x + -78x = -1x 21 + -1x = -15 + 78x + -78x Combine like terms: 78x + -78x = 0 21 + -1x = -15 + 0 21 + -1x = -15 Add '-21' to each side of the equation. 21 + -21 + -1x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -15 + -21 -1x = -15 + -21 Combine like terms: -15 + -21 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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