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Simplifying 4x + 5 = 29(5x + -1) + 2 Reorder the terms: 5 + 4x = 29(5x + -1) + 2 Reorder the terms: 5 + 4x = 29(-1 + 5x) + 2 5 + 4x = (-1 * 29 + 5x * 29) + 2 5 + 4x = (-29 + 145x) + 2 Reorder the terms: 5 + 4x = -29 + 2 + 145x Combine like terms: -29 + 2 = -27 5 + 4x = -27 + 145x Solving 5 + 4x = -27 + 145x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-145x' to each side of the equation. 5 + 4x + -145x = -27 + 145x + -145x Combine like terms: 4x + -145x = -141x 5 + -141x = -27 + 145x + -145x Combine like terms: 145x + -145x = 0 5 + -141x = -27 + 0 5 + -141x = -27 Add '-5' to each side of the equation. 5 + -5 + -141x = -27 + -5 Combine like terms: 5 + -5 = 0 0 + -141x = -27 + -5 -141x = -27 + -5 Combine like terms: -27 + -5 = -32 -141x = -32 Divide each side by '-141'. x = 0.2269503546 Simplifying x = 0.2269503546
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