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Simplifying 5x + -7 = x + 33 Reorder the terms: -7 + 5x = x + 33 Reorder the terms: -7 + 5x = 33 + x Solving -7 + 5x = 33 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 5x + -1x = 33 + x + -1x Combine like terms: 5x + -1x = 4x -7 + 4x = 33 + x + -1x Combine like terms: x + -1x = 0 -7 + 4x = 33 + 0 -7 + 4x = 33 Add '7' to each side of the equation. -7 + 7 + 4x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 33 + 7 4x = 33 + 7 Combine like terms: 33 + 7 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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