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Simplifying 14x + -6(25 + -1x) = 4 + -1(11x + -1) 14x + (25 * -6 + -1x * -6) = 4 + -1(11x + -1) 14x + (-150 + 6x) = 4 + -1(11x + -1) Reorder the terms: -150 + 14x + 6x = 4 + -1(11x + -1) Combine like terms: 14x + 6x = 20x -150 + 20x = 4 + -1(11x + -1) Reorder the terms: -150 + 20x = 4 + -1(-1 + 11x) -150 + 20x = 4 + (-1 * -1 + 11x * -1) -150 + 20x = 4 + (1 + -11x) Combine like terms: 4 + 1 = 5 -150 + 20x = 5 + -11x Solving -150 + 20x = 5 + -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. -150 + 20x + 11x = 5 + -11x + 11x Combine like terms: 20x + 11x = 31x -150 + 31x = 5 + -11x + 11x Combine like terms: -11x + 11x = 0 -150 + 31x = 5 + 0 -150 + 31x = 5 Add '150' to each side of the equation. -150 + 150 + 31x = 5 + 150 Combine like terms: -150 + 150 = 0 0 + 31x = 5 + 150 31x = 5 + 150 Combine like terms: 5 + 150 = 155 31x = 155 Divide each side by '31'. x = 5 Simplifying x = 5
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