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Simplifying 12 + -4(x + 4) = 13 + -5(x + 3) Reorder the terms: 12 + -4(4 + x) = 13 + -5(x + 3) 12 + (4 * -4 + x * -4) = 13 + -5(x + 3) 12 + (-16 + -4x) = 13 + -5(x + 3) Combine like terms: 12 + -16 = -4 -4 + -4x = 13 + -5(x + 3) Reorder the terms: -4 + -4x = 13 + -5(3 + x) -4 + -4x = 13 + (3 * -5 + x * -5) -4 + -4x = 13 + (-15 + -5x) Combine like terms: 13 + -15 = -2 -4 + -4x = -2 + -5x Solving -4 + -4x = -2 + -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. -4 + -4x + 5x = -2 + -5x + 5x Combine like terms: -4x + 5x = 1x -4 + 1x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 1x = -2 + 0 -4 + 1x = -2 Add '4' to each side of the equation. -4 + 4 + 1x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -2 + 4 1x = -2 + 4 Combine like terms: -2 + 4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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