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Simplifying 7(3x + -4) = 8(x + 6) + -2 Reorder the terms: 7(-4 + 3x) = 8(x + 6) + -2 (-4 * 7 + 3x * 7) = 8(x + 6) + -2 (-28 + 21x) = 8(x + 6) + -2 Reorder the terms: -28 + 21x = 8(6 + x) + -2 -28 + 21x = (6 * 8 + x * 8) + -2 -28 + 21x = (48 + 8x) + -2 Reorder the terms: -28 + 21x = 48 + -2 + 8x Combine like terms: 48 + -2 = 46 -28 + 21x = 46 + 8x Solving -28 + 21x = 46 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -28 + 21x + -8x = 46 + 8x + -8x Combine like terms: 21x + -8x = 13x -28 + 13x = 46 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 13x = 46 + 0 -28 + 13x = 46 Add '28' to each side of the equation. -28 + 28 + 13x = 46 + 28 Combine like terms: -28 + 28 = 0 0 + 13x = 46 + 28 13x = 46 + 28 Combine like terms: 46 + 28 = 74 13x = 74 Divide each side by '13'. x = 5.692307692 Simplifying x = 5.692307692
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