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Simplifying 14 + -6x + 2(5x + -7) + -8x + 13 = 7x + -11 Reorder the terms: 14 + -6x + 2(-7 + 5x) + -8x + 13 = 7x + -11 14 + -6x + (-7 * 2 + 5x * 2) + -8x + 13 = 7x + -11 14 + -6x + (-14 + 10x) + -8x + 13 = 7x + -11 Reorder the terms: 14 + -14 + 13 + -6x + 10x + -8x = 7x + -11 Combine like terms: 14 + -14 = 0 0 + 13 + -6x + 10x + -8x = 7x + -11 13 + -6x + 10x + -8x = 7x + -11 Combine like terms: -6x + 10x = 4x 13 + 4x + -8x = 7x + -11 Combine like terms: 4x + -8x = -4x 13 + -4x = 7x + -11 Reorder the terms: 13 + -4x = -11 + 7x Solving 13 + -4x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + -4x + -7x = -11 + 7x + -7x Combine like terms: -4x + -7x = -11x 13 + -11x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -11x = -11 + 0 13 + -11x = -11 Add '-13' to each side of the equation. 13 + -13 + -11x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = -11 + -13 -11x = -11 + -13 Combine like terms: -11 + -13 = -24 -11x = -24 Divide each side by '-11'. x = 2.181818182 Simplifying x = 2.181818182
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