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Simplifying 7(x + -83) + -3 = 2(x + -83) + 17 Reorder the terms: 7(-83 + x) + -3 = 2(x + -83) + 17 (-83 * 7 + x * 7) + -3 = 2(x + -83) + 17 (-581 + 7x) + -3 = 2(x + -83) + 17 Reorder the terms: -581 + -3 + 7x = 2(x + -83) + 17 Combine like terms: -581 + -3 = -584 -584 + 7x = 2(x + -83) + 17 Reorder the terms: -584 + 7x = 2(-83 + x) + 17 -584 + 7x = (-83 * 2 + x * 2) + 17 -584 + 7x = (-166 + 2x) + 17 Reorder the terms: -584 + 7x = -166 + 17 + 2x Combine like terms: -166 + 17 = -149 -584 + 7x = -149 + 2x Solving -584 + 7x = -149 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -584 + 7x + -2x = -149 + 2x + -2x Combine like terms: 7x + -2x = 5x -584 + 5x = -149 + 2x + -2x Combine like terms: 2x + -2x = 0 -584 + 5x = -149 + 0 -584 + 5x = -149 Add '584' to each side of the equation. -584 + 584 + 5x = -149 + 584 Combine like terms: -584 + 584 = 0 0 + 5x = -149 + 584 5x = -149 + 584 Combine like terms: -149 + 584 = 435 5x = 435 Divide each side by '5'. x = 87 Simplifying x = 87
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