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Simplifying 12 + -5(x + 4) = 11 + -4(x + 5) Reorder the terms: 12 + -5(4 + x) = 11 + -4(x + 5) 12 + (4 * -5 + x * -5) = 11 + -4(x + 5) 12 + (-20 + -5x) = 11 + -4(x + 5) Combine like terms: 12 + -20 = -8 -8 + -5x = 11 + -4(x + 5) Reorder the terms: -8 + -5x = 11 + -4(5 + x) -8 + -5x = 11 + (5 * -4 + x * -4) -8 + -5x = 11 + (-20 + -4x) Combine like terms: 11 + -20 = -9 -8 + -5x = -9 + -4x Solving -8 + -5x = -9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + -5x + 4x = -9 + -4x + 4x Combine like terms: -5x + 4x = -1x -8 + -1x = -9 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + -1x = -9 + 0 -8 + -1x = -9 Add '8' to each side of the equation. -8 + 8 + -1x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -9 + 8 -1x = -9 + 8 Combine like terms: -9 + 8 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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