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Simplifying (x + -14)(x) + (2x + 1) = (x)(x) + -1(4 + -1x) Reorder the terms: (-14 + x)(x) + (2x + 1) = (x)(x) + -1(4 + -1x) Reorder the terms for easier multiplication: x(-14 + x) + (2x + 1) = (x)(x) + -1(4 + -1x) (-14 * x + x * x) + (2x + 1) = (x)(x) + -1(4 + -1x) (-14x + x2) + (2x + 1) = (x)(x) + -1(4 + -1x) Reorder the terms: -14x + x2 + (1 + 2x) = (x)(x) + -1(4 + -1x) Remove parenthesis around (1 + 2x) -14x + x2 + 1 + 2x = (x)(x) + -1(4 + -1x) Reorder the terms: 1 + -14x + 2x + x2 = (x)(x) + -1(4 + -1x) Combine like terms: -14x + 2x = -12x 1 + -12x + x2 = (x)(x) + -1(4 + -1x) Multiply x * x 1 + -12x + x2 = x2 + -1(4 + -1x) 1 + -12x + x2 = x2 + (4 * -1 + -1x * -1) 1 + -12x + x2 = x2 + (-4 + 1x) Reorder the terms: 1 + -12x + x2 = -4 + 1x + x2 Add '-1x2' to each side of the equation. 1 + -12x + x2 + -1x2 = -4 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + -12x + 0 = -4 + 1x + x2 + -1x2 1 + -12x = -4 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + -12x = -4 + 1x + 0 1 + -12x = -4 + 1x Solving 1 + -12x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -12x + -1x = -4 + 1x + -1x Combine like terms: -12x + -1x = -13x 1 + -13x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -13x = -4 + 0 1 + -13x = -4 Add '-1' to each side of the equation. 1 + -1 + -13x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -4 + -1 -13x = -4 + -1 Combine like terms: -4 + -1 = -5 -13x = -5 Divide each side by '-13'. x = 0.3846153846 Simplifying x = 0.3846153846
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