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Simplifying 2 + 6(x + -5) = 8 + -8(x + -5) Reorder the terms: 2 + 6(-5 + x) = 8 + -8(x + -5) 2 + (-5 * 6 + x * 6) = 8 + -8(x + -5) 2 + (-30 + 6x) = 8 + -8(x + -5) Combine like terms: 2 + -30 = -28 -28 + 6x = 8 + -8(x + -5) Reorder the terms: -28 + 6x = 8 + -8(-5 + x) -28 + 6x = 8 + (-5 * -8 + x * -8) -28 + 6x = 8 + (40 + -8x) Combine like terms: 8 + 40 = 48 -28 + 6x = 48 + -8x Solving -28 + 6x = 48 + -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. -28 + 6x + 8x = 48 + -8x + 8x Combine like terms: 6x + 8x = 14x -28 + 14x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + 14x = 48 + 0 -28 + 14x = 48 Add '28' to each side of the equation. -28 + 28 + 14x = 48 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 48 + 28 14x = 48 + 28 Combine like terms: 48 + 28 = 76 14x = 76 Divide each side by '14'. x = 5.428571429 Simplifying x = 5.428571429
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