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Simplifying 83 = -2x + 5(-3x + -14) Reorder the terms: 83 = -2x + 5(-14 + -3x) 83 = -2x + (-14 * 5 + -3x * 5) 83 = -2x + (-70 + -15x) Reorder the terms: 83 = -70 + -2x + -15x Combine like terms: -2x + -15x = -17x 83 = -70 + -17x Solving 83 = -70 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 83 + 17x = -70 + -17x + 17x Combine like terms: -17x + 17x = 0 83 + 17x = -70 + 0 83 + 17x = -70 Add '-83' to each side of the equation. 83 + -83 + 17x = -70 + -83 Combine like terms: 83 + -83 = 0 0 + 17x = -70 + -83 17x = -70 + -83 Combine like terms: -70 + -83 = -153 17x = -153 Divide each side by '17'. x = -9 Simplifying x = -9
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