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Simplifying -5x + 9 + -4(x + 2) = 3(x + -2) + 43 Reorder the terms: -5x + 9 + -4(2 + x) = 3(x + -2) + 43 -5x + 9 + (2 * -4 + x * -4) = 3(x + -2) + 43 -5x + 9 + (-8 + -4x) = 3(x + -2) + 43 Reorder the terms: 9 + -8 + -5x + -4x = 3(x + -2) + 43 Combine like terms: 9 + -8 = 1 1 + -5x + -4x = 3(x + -2) + 43 Combine like terms: -5x + -4x = -9x 1 + -9x = 3(x + -2) + 43 Reorder the terms: 1 + -9x = 3(-2 + x) + 43 1 + -9x = (-2 * 3 + x * 3) + 43 1 + -9x = (-6 + 3x) + 43 Reorder the terms: 1 + -9x = -6 + 43 + 3x Combine like terms: -6 + 43 = 37 1 + -9x = 37 + 3x Solving 1 + -9x = 37 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + -9x + -3x = 37 + 3x + -3x Combine like terms: -9x + -3x = -12x 1 + -12x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -12x = 37 + 0 1 + -12x = 37 Add '-1' to each side of the equation. 1 + -1 + -12x = 37 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 37 + -1 -12x = 37 + -1 Combine like terms: 37 + -1 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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