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Simplifying 5 + 6(x + -8) = 10 + -2(x + -5) Reorder the terms: 5 + 6(-8 + x) = 10 + -2(x + -5) 5 + (-8 * 6 + x * 6) = 10 + -2(x + -5) 5 + (-48 + 6x) = 10 + -2(x + -5) Combine like terms: 5 + -48 = -43 -43 + 6x = 10 + -2(x + -5) Reorder the terms: -43 + 6x = 10 + -2(-5 + x) -43 + 6x = 10 + (-5 * -2 + x * -2) -43 + 6x = 10 + (10 + -2x) Combine like terms: 10 + 10 = 20 -43 + 6x = 20 + -2x Solving -43 + 6x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -43 + 6x + 2x = 20 + -2x + 2x Combine like terms: 6x + 2x = 8x -43 + 8x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -43 + 8x = 20 + 0 -43 + 8x = 20 Add '43' to each side of the equation. -43 + 43 + 8x = 20 + 43 Combine like terms: -43 + 43 = 0 0 + 8x = 20 + 43 8x = 20 + 43 Combine like terms: 20 + 43 = 63 8x = 63 Divide each side by '8'. x = 7.875 Simplifying x = 7.875
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