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Simplifying 5x + -5(4x + -1) + -11 = -14x + -12 Reorder the terms: 5x + -5(-1 + 4x) + -11 = -14x + -12 5x + (-1 * -5 + 4x * -5) + -11 = -14x + -12 5x + (5 + -20x) + -11 = -14x + -12 Reorder the terms: 5 + -11 + 5x + -20x = -14x + -12 Combine like terms: 5 + -11 = -6 -6 + 5x + -20x = -14x + -12 Combine like terms: 5x + -20x = -15x -6 + -15x = -14x + -12 Reorder the terms: -6 + -15x = -12 + -14x Solving -6 + -15x = -12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -6 + -15x + 14x = -12 + -14x + 14x Combine like terms: -15x + 14x = -1x -6 + -1x = -12 + -14x + 14x Combine like terms: -14x + 14x = 0 -6 + -1x = -12 + 0 -6 + -1x = -12 Add '6' to each side of the equation. -6 + 6 + -1x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -12 + 6 -1x = -12 + 6 Combine like terms: -12 + 6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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