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Simplifying 5x + 33 = 13x + -47 Reorder the terms: 33 + 5x = 13x + -47 Reorder the terms: 33 + 5x = -47 + 13x Solving 33 + 5x = -47 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 33 + 5x + -13x = -47 + 13x + -13x Combine like terms: 5x + -13x = -8x 33 + -8x = -47 + 13x + -13x Combine like terms: 13x + -13x = 0 33 + -8x = -47 + 0 33 + -8x = -47 Add '-33' to each side of the equation. 33 + -33 + -8x = -47 + -33 Combine like terms: 33 + -33 = 0 0 + -8x = -47 + -33 -8x = -47 + -33 Combine like terms: -47 + -33 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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