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Simplifying x + 6 + -3x + 1 = 44 + -4x + 5 Reorder the terms: 6 + 1 + x + -3x = 44 + -4x + 5 Combine like terms: 6 + 1 = 7 7 + x + -3x = 44 + -4x + 5 Combine like terms: x + -3x = -2x 7 + -2x = 44 + -4x + 5 Reorder the terms: 7 + -2x = 44 + 5 + -4x Combine like terms: 44 + 5 = 49 7 + -2x = 49 + -4x Solving 7 + -2x = 49 + -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. 7 + -2x + 4x = 49 + -4x + 4x Combine like terms: -2x + 4x = 2x 7 + 2x = 49 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 2x = 49 + 0 7 + 2x = 49 Add '-7' to each side of the equation. 7 + -7 + 2x = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 49 + -7 2x = 49 + -7 Combine like terms: 49 + -7 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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