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Simplifying -9 + -8x = 3x + 7(-3x + 3) Reorder the terms: -9 + -8x = 3x + 7(3 + -3x) -9 + -8x = 3x + (3 * 7 + -3x * 7) -9 + -8x = 3x + (21 + -21x) Reorder the terms: -9 + -8x = 21 + 3x + -21x Combine like terms: 3x + -21x = -18x -9 + -8x = 21 + -18x Solving -9 + -8x = 21 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -9 + -8x + 18x = 21 + -18x + 18x Combine like terms: -8x + 18x = 10x -9 + 10x = 21 + -18x + 18x Combine like terms: -18x + 18x = 0 -9 + 10x = 21 + 0 -9 + 10x = 21 Add '9' to each side of the equation. -9 + 9 + 10x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 21 + 9 10x = 21 + 9 Combine like terms: 21 + 9 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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