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Simplifying 4x + -7 = 49 + -4x Reorder the terms: -7 + 4x = 49 + -4x Solving -7 + 4x = 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 + 4x + 4x = 49 + -4x + 4x Combine like terms: 4x + 4x = 8x -7 + 8x = 49 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 8x = 49 + 0 -7 + 8x = 49 Add '7' to each side of the equation. -7 + 7 + 8x = 49 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 49 + 7 8x = 49 + 7 Combine like terms: 49 + 7 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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