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Simplifying 5x + 24 = 80 + -1(4x + 2) Reorder the terms: 24 + 5x = 80 + -1(4x + 2) Reorder the terms: 24 + 5x = 80 + -1(2 + 4x) 24 + 5x = 80 + (2 * -1 + 4x * -1) 24 + 5x = 80 + (-2 + -4x) Combine like terms: 80 + -2 = 78 24 + 5x = 78 + -4x Solving 24 + 5x = 78 + -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. 24 + 5x + 4x = 78 + -4x + 4x Combine like terms: 5x + 4x = 9x 24 + 9x = 78 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 9x = 78 + 0 24 + 9x = 78 Add '-24' to each side of the equation. 24 + -24 + 9x = 78 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 78 + -24 9x = 78 + -24 Combine like terms: 78 + -24 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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