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Simplifying 7(1 + -3x) + 8 = -9x + -9 (1 * 7 + -3x * 7) + 8 = -9x + -9 (7 + -21x) + 8 = -9x + -9 Reorder the terms: 7 + 8 + -21x = -9x + -9 Combine like terms: 7 + 8 = 15 15 + -21x = -9x + -9 Reorder the terms: 15 + -21x = -9 + -9x Solving 15 + -21x = -9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 15 + -21x + 9x = -9 + -9x + 9x Combine like terms: -21x + 9x = -12x 15 + -12x = -9 + -9x + 9x Combine like terms: -9x + 9x = 0 15 + -12x = -9 + 0 15 + -12x = -9 Add '-15' to each side of the equation. 15 + -15 + -12x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -9 + -15 -12x = -9 + -15 Combine like terms: -9 + -15 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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