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Simplifying 3(7x + -8) + -9 = 3(x + 1) Reorder the terms: 3(-8 + 7x) + -9 = 3(x + 1) (-8 * 3 + 7x * 3) + -9 = 3(x + 1) (-24 + 21x) + -9 = 3(x + 1) Reorder the terms: -24 + -9 + 21x = 3(x + 1) Combine like terms: -24 + -9 = -33 -33 + 21x = 3(x + 1) Reorder the terms: -33 + 21x = 3(1 + x) -33 + 21x = (1 * 3 + x * 3) -33 + 21x = (3 + 3x) Solving -33 + 21x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -33 + 21x + -3x = 3 + 3x + -3x Combine like terms: 21x + -3x = 18x -33 + 18x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + 18x = 3 + 0 -33 + 18x = 3 Add '33' to each side of the equation. -33 + 33 + 18x = 3 + 33 Combine like terms: -33 + 33 = 0 0 + 18x = 3 + 33 18x = 3 + 33 Combine like terms: 3 + 33 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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