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Simplifying 4(5x + 1) = -3(5x + -4) + 4x Reorder the terms: 4(1 + 5x) = -3(5x + -4) + 4x (1 * 4 + 5x * 4) = -3(5x + -4) + 4x (4 + 20x) = -3(5x + -4) + 4x Reorder the terms: 4 + 20x = -3(-4 + 5x) + 4x 4 + 20x = (-4 * -3 + 5x * -3) + 4x 4 + 20x = (12 + -15x) + 4x Combine like terms: -15x + 4x = -11x 4 + 20x = 12 + -11x Solving 4 + 20x = 12 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 4 + 20x + 11x = 12 + -11x + 11x Combine like terms: 20x + 11x = 31x 4 + 31x = 12 + -11x + 11x Combine like terms: -11x + 11x = 0 4 + 31x = 12 + 0 4 + 31x = 12 Add '-4' to each side of the equation. 4 + -4 + 31x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 31x = 12 + -4 31x = 12 + -4 Combine like terms: 12 + -4 = 8 31x = 8 Divide each side by '31'. x = 0.2580645161 Simplifying x = 0.2580645161
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