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Simplifying 4x + 1 = 2x + -5(5x + -3) Reorder the terms: 1 + 4x = 2x + -5(5x + -3) Reorder the terms: 1 + 4x = 2x + -5(-3 + 5x) 1 + 4x = 2x + (-3 * -5 + 5x * -5) 1 + 4x = 2x + (15 + -25x) Reorder the terms: 1 + 4x = 15 + 2x + -25x Combine like terms: 2x + -25x = -23x 1 + 4x = 15 + -23x Solving 1 + 4x = 15 + -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. 1 + 4x + 23x = 15 + -23x + 23x Combine like terms: 4x + 23x = 27x 1 + 27x = 15 + -23x + 23x Combine like terms: -23x + 23x = 0 1 + 27x = 15 + 0 1 + 27x = 15 Add '-1' to each side of the equation. 1 + -1 + 27x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 27x = 15 + -1 27x = 15 + -1 Combine like terms: 15 + -1 = 14 27x = 14 Divide each side by '27'. x = 0.5185185185 Simplifying x = 0.5185185185
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