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Simplifying 8 + -4(x + 7) = 5(x + -6) Reorder the terms: 8 + -4(7 + x) = 5(x + -6) 8 + (7 * -4 + x * -4) = 5(x + -6) 8 + (-28 + -4x) = 5(x + -6) Combine like terms: 8 + -28 = -20 -20 + -4x = 5(x + -6) Reorder the terms: -20 + -4x = 5(-6 + x) -20 + -4x = (-6 * 5 + x * 5) -20 + -4x = (-30 + 5x) Solving -20 + -4x = -30 + 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. -20 + -4x + -5x = -30 + 5x + -5x Combine like terms: -4x + -5x = -9x -20 + -9x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -9x = -30 + 0 -20 + -9x = -30 Add '20' to each side of the equation. -20 + 20 + -9x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -9x = -30 + 20 -9x = -30 + 20 Combine like terms: -30 + 20 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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