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Simplifying 34x + -20(x + 2) = 7x + -4(x + -7) Reorder the terms: 34x + -20(2 + x) = 7x + -4(x + -7) 34x + (2 * -20 + x * -20) = 7x + -4(x + -7) 34x + (-40 + -20x) = 7x + -4(x + -7) Reorder the terms: -40 + 34x + -20x = 7x + -4(x + -7) Combine like terms: 34x + -20x = 14x -40 + 14x = 7x + -4(x + -7) Reorder the terms: -40 + 14x = 7x + -4(-7 + x) -40 + 14x = 7x + (-7 * -4 + x * -4) -40 + 14x = 7x + (28 + -4x) Reorder the terms: -40 + 14x = 28 + 7x + -4x Combine like terms: 7x + -4x = 3x -40 + 14x = 28 + 3x Solving -40 + 14x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 14x + -3x = 28 + 3x + -3x Combine like terms: 14x + -3x = 11x -40 + 11x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 11x = 28 + 0 -40 + 11x = 28 Add '40' to each side of the equation. -40 + 40 + 11x = 28 + 40 Combine like terms: -40 + 40 = 0 0 + 11x = 28 + 40 11x = 28 + 40 Combine like terms: 28 + 40 = 68 11x = 68 Divide each side by '11'. x = 6.181818182 Simplifying x = 6.181818182
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