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Simplifying 34 = 5(3x + -3) + -7(-7 + 8x) Reorder the terms: 34 = 5(-3 + 3x) + -7(-7 + 8x) 34 = (-3 * 5 + 3x * 5) + -7(-7 + 8x) 34 = (-15 + 15x) + -7(-7 + 8x) 34 = -15 + 15x + (-7 * -7 + 8x * -7) 34 = -15 + 15x + (49 + -56x) Reorder the terms: 34 = -15 + 49 + 15x + -56x Combine like terms: -15 + 49 = 34 34 = 34 + 15x + -56x Combine like terms: 15x + -56x = -41x 34 = 34 + -41x Add '-34' to each side of the equation. 34 + -34 = 34 + -34 + -41x Combine like terms: 34 + -34 = 0 0 = 34 + -34 + -41x Combine like terms: 34 + -34 = 0 0 = 0 + -41x 0 = -41x Solving 0 = -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. 0 + 41x = -41x + 41x Remove the zero: 41x = -41x + 41x Combine like terms: -41x + 41x = 0 41x = 0 Divide each side by '41'. x = 0 Simplifying x = 0
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