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Simplifying 44 + -7x = 3x + 5 + 7x + -4x Reorder the terms: 44 + -7x = 5 + 3x + 7x + -4x Combine like terms: 3x + 7x = 10x 44 + -7x = 5 + 10x + -4x Combine like terms: 10x + -4x = 6x 44 + -7x = 5 + 6x Solving 44 + -7x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 44 + -7x + -6x = 5 + 6x + -6x Combine like terms: -7x + -6x = -13x 44 + -13x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 44 + -13x = 5 + 0 44 + -13x = 5 Add '-44' to each side of the equation. 44 + -44 + -13x = 5 + -44 Combine like terms: 44 + -44 = 0 0 + -13x = 5 + -44 -13x = 5 + -44 Combine like terms: 5 + -44 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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