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Simplifying 3x + -8x + 47 = 2x + 33 Reorder the terms: 47 + 3x + -8x = 2x + 33 Combine like terms: 3x + -8x = -5x 47 + -5x = 2x + 33 Reorder the terms: 47 + -5x = 33 + 2x Solving 47 + -5x = 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. 47 + -5x + -2x = 33 + 2x + -2x Combine like terms: -5x + -2x = -7x 47 + -7x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 47 + -7x = 33 + 0 47 + -7x = 33 Add '-47' to each side of the equation. 47 + -47 + -7x = 33 + -47 Combine like terms: 47 + -47 = 0 0 + -7x = 33 + -47 -7x = 33 + -47 Combine like terms: 33 + -47 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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