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Simplifying -3x + -14(x + -5) = (5x + -10) + -96 Reorder the terms: -3x + -14(-5 + x) = (5x + -10) + -96 -3x + (-5 * -14 + x * -14) = (5x + -10) + -96 -3x + (70 + -14x) = (5x + -10) + -96 Reorder the terms: 70 + -3x + -14x = (5x + -10) + -96 Combine like terms: -3x + -14x = -17x 70 + -17x = (5x + -10) + -96 Reorder the terms: 70 + -17x = (-10 + 5x) + -96 Remove parenthesis around (-10 + 5x) 70 + -17x = -10 + 5x + -96 Reorder the terms: 70 + -17x = -10 + -96 + 5x Combine like terms: -10 + -96 = -106 70 + -17x = -106 + 5x Solving 70 + -17x = -106 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 70 + -17x + -5x = -106 + 5x + -5x Combine like terms: -17x + -5x = -22x 70 + -22x = -106 + 5x + -5x Combine like terms: 5x + -5x = 0 70 + -22x = -106 + 0 70 + -22x = -106 Add '-70' to each side of the equation. 70 + -70 + -22x = -106 + -70 Combine like terms: 70 + -70 = 0 0 + -22x = -106 + -70 -22x = -106 + -70 Combine like terms: -106 + -70 = -176 -22x = -176 Divide each side by '-22'. x = 8 Simplifying x = 8
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