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Simplifying 5 + -3(3x + -4) = x + 97 Reorder the terms: 5 + -3(-4 + 3x) = x + 97 5 + (-4 * -3 + 3x * -3) = x + 97 5 + (12 + -9x) = x + 97 Combine like terms: 5 + 12 = 17 17 + -9x = x + 97 Reorder the terms: 17 + -9x = 97 + x Solving 17 + -9x = 97 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + -9x + -1x = 97 + x + -1x Combine like terms: -9x + -1x = -10x 17 + -10x = 97 + x + -1x Combine like terms: x + -1x = 0 17 + -10x = 97 + 0 17 + -10x = 97 Add '-17' to each side of the equation. 17 + -17 + -10x = 97 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = 97 + -17 -10x = 97 + -17 Combine like terms: 97 + -17 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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