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Simplifying 4x + 33 = 14x + -47 Reorder the terms: 33 + 4x = 14x + -47 Reorder the terms: 33 + 4x = -47 + 14x Solving 33 + 4x = -47 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 33 + 4x + -14x = -47 + 14x + -14x Combine like terms: 4x + -14x = -10x 33 + -10x = -47 + 14x + -14x Combine like terms: 14x + -14x = 0 33 + -10x = -47 + 0 33 + -10x = -47 Add '-33' to each side of the equation. 33 + -33 + -10x = -47 + -33 Combine like terms: 33 + -33 = 0 0 + -10x = -47 + -33 -10x = -47 + -33 Combine like terms: -47 + -33 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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