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Simplifying 14x + -5 = 4x + -1(x + 8) + (-1x + 8) Reorder the terms: -5 + 14x = 4x + -1(x + 8) + (-1x + 8) Reorder the terms: -5 + 14x = 4x + -1(8 + x) + (-1x + 8) -5 + 14x = 4x + (8 * -1 + x * -1) + (-1x + 8) -5 + 14x = 4x + (-8 + -1x) + (-1x + 8) Reorder the terms: -5 + 14x = 4x + -8 + -1x + (8 + -1x) Remove parenthesis around (8 + -1x) -5 + 14x = 4x + -8 + -1x + 8 + -1x Reorder the terms: -5 + 14x = -8 + 8 + 4x + -1x + -1x Combine like terms: -8 + 8 = 0 -5 + 14x = 0 + 4x + -1x + -1x -5 + 14x = 4x + -1x + -1x Combine like terms: 4x + -1x = 3x -5 + 14x = 3x + -1x Combine like terms: 3x + -1x = 2x -5 + 14x = 2x Solving -5 + 14x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 14x + -2x = 2x + -2x Combine like terms: 14x + -2x = 12x -5 + 12x = 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 12x = 0 Add '5' to each side of the equation. -5 + 5 + 12x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 0 + 5 12x = 0 + 5 Combine like terms: 0 + 5 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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