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Simplifying 83 + -1(3x + 10) = 3(x + 8) + x Reorder the terms: 83 + -1(10 + 3x) = 3(x + 8) + x 83 + (10 * -1 + 3x * -1) = 3(x + 8) + x 83 + (-10 + -3x) = 3(x + 8) + x Combine like terms: 83 + -10 = 73 73 + -3x = 3(x + 8) + x Reorder the terms: 73 + -3x = 3(8 + x) + x 73 + -3x = (8 * 3 + x * 3) + x 73 + -3x = (24 + 3x) + x Combine like terms: 3x + x = 4x 73 + -3x = 24 + 4x Solving 73 + -3x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 73 + -3x + -4x = 24 + 4x + -4x Combine like terms: -3x + -4x = -7x 73 + -7x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 73 + -7x = 24 + 0 73 + -7x = 24 Add '-73' to each side of the equation. 73 + -73 + -7x = 24 + -73 Combine like terms: 73 + -73 = 0 0 + -7x = 24 + -73 -7x = 24 + -73 Combine like terms: 24 + -73 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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