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Simplifying 6 + -9x + -4 = -38 + 4x + -12 Reorder the terms: 6 + -4 + -9x = -38 + 4x + -12 Combine like terms: 6 + -4 = 2 2 + -9x = -38 + 4x + -12 Reorder the terms: 2 + -9x = -38 + -12 + 4x Combine like terms: -38 + -12 = -50 2 + -9x = -50 + 4x Solving 2 + -9x = -50 + 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. 2 + -9x + -4x = -50 + 4x + -4x Combine like terms: -9x + -4x = -13x 2 + -13x = -50 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -13x = -50 + 0 2 + -13x = -50 Add '-2' to each side of the equation. 2 + -2 + -13x = -50 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = -50 + -2 -13x = -50 + -2 Combine like terms: -50 + -2 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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