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Simplifying 6x + -5 = 8 + -4(2x + -7) Reorder the terms: -5 + 6x = 8 + -4(2x + -7) Reorder the terms: -5 + 6x = 8 + -4(-7 + 2x) -5 + 6x = 8 + (-7 * -4 + 2x * -4) -5 + 6x = 8 + (28 + -8x) Combine like terms: 8 + 28 = 36 -5 + 6x = 36 + -8x Solving -5 + 6x = 36 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + 6x + 8x = 36 + -8x + 8x Combine like terms: 6x + 8x = 14x -5 + 14x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 14x = 36 + 0 -5 + 14x = 36 Add '5' to each side of the equation. -5 + 5 + 14x = 36 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 36 + 5 14x = 36 + 5 Combine like terms: 36 + 5 = 41 14x = 41 Divide each side by '14'. x = 2.928571429 Simplifying x = 2.928571429
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