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Simplifying 83 = 4(5x + -8) + 3x Reorder the terms: 83 = 4(-8 + 5x) + 3x 83 = (-8 * 4 + 5x * 4) + 3x 83 = (-32 + 20x) + 3x Combine like terms: 20x + 3x = 23x 83 = -32 + 23x Solving 83 = -32 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 83 + -23x = -32 + 23x + -23x Combine like terms: 23x + -23x = 0 83 + -23x = -32 + 0 83 + -23x = -32 Add '-83' to each side of the equation. 83 + -83 + -23x = -32 + -83 Combine like terms: 83 + -83 = 0 0 + -23x = -32 + -83 -23x = -32 + -83 Combine like terms: -32 + -83 = -115 -23x = -115 Divide each side by '-23'. x = 5 Simplifying x = 5
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