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Simplifying 7(3x + -2) = 8(x + 9) Reorder the terms: 7(-2 + 3x) = 8(x + 9) (-2 * 7 + 3x * 7) = 8(x + 9) (-14 + 21x) = 8(x + 9) Reorder the terms: -14 + 21x = 8(9 + x) -14 + 21x = (9 * 8 + x * 8) -14 + 21x = (72 + 8x) Solving -14 + 21x = 72 + 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. -14 + 21x + -8x = 72 + 8x + -8x Combine like terms: 21x + -8x = 13x -14 + 13x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 13x = 72 + 0 -14 + 13x = 72 Add '14' to each side of the equation. -14 + 14 + 13x = 72 + 14 Combine like terms: -14 + 14 = 0 0 + 13x = 72 + 14 13x = 72 + 14 Combine like terms: 72 + 14 = 86 13x = 86 Divide each side by '13'. x = 6.615384615 Simplifying x = 6.615384615
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