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Simplifying -7x + 3x + 32 = -8x + 33 Reorder the terms: 32 + -7x + 3x = -8x + 33 Combine like terms: -7x + 3x = -4x 32 + -4x = -8x + 33 Reorder the terms: 32 + -4x = 33 + -8x Solving 32 + -4x = 33 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + -4x + 8x = 33 + -8x + 8x Combine like terms: -4x + 8x = 4x 32 + 4x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 4x = 33 + 0 32 + 4x = 33 Add '-32' to each side of the equation. 32 + -32 + 4x = 33 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 33 + -32 4x = 33 + -32 Combine like terms: 33 + -32 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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