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Simplifying 4 + 8(x + -6) = 7 + -5(x + -5) Reorder the terms: 4 + 8(-6 + x) = 7 + -5(x + -5) 4 + (-6 * 8 + x * 8) = 7 + -5(x + -5) 4 + (-48 + 8x) = 7 + -5(x + -5) Combine like terms: 4 + -48 = -44 -44 + 8x = 7 + -5(x + -5) Reorder the terms: -44 + 8x = 7 + -5(-5 + x) -44 + 8x = 7 + (-5 * -5 + x * -5) -44 + 8x = 7 + (25 + -5x) Combine like terms: 7 + 25 = 32 -44 + 8x = 32 + -5x Solving -44 + 8x = 32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -44 + 8x + 5x = 32 + -5x + 5x Combine like terms: 8x + 5x = 13x -44 + 13x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -44 + 13x = 32 + 0 -44 + 13x = 32 Add '44' to each side of the equation. -44 + 44 + 13x = 32 + 44 Combine like terms: -44 + 44 = 0 0 + 13x = 32 + 44 13x = 32 + 44 Combine like terms: 32 + 44 = 76 13x = 76 Divide each side by '13'. x = 5.846153846 Simplifying x = 5.846153846
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