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Simplifying 10x + -7 = 2x + 33 Reorder the terms: -7 + 10x = 2x + 33 Reorder the terms: -7 + 10x = 33 + 2x Solving -7 + 10x = 33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 10x + -2x = 33 + 2x + -2x Combine like terms: 10x + -2x = 8x -7 + 8x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 8x = 33 + 0 -7 + 8x = 33 Add '7' to each side of the equation. -7 + 7 + 8x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 33 + 7 8x = 33 + 7 Combine like terms: 33 + 7 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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