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Simplifying -4x + 33 = x + -7 Reorder the terms: 33 + -4x = x + -7 Reorder the terms: 33 + -4x = -7 + x Solving 33 + -4x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 33 + -4x + -1x = -7 + x + -1x Combine like terms: -4x + -1x = -5x 33 + -5x = -7 + x + -1x Combine like terms: x + -1x = 0 33 + -5x = -7 + 0 33 + -5x = -7 Add '-33' to each side of the equation. 33 + -33 + -5x = -7 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = -7 + -33 -5x = -7 + -33 Combine like terms: -7 + -33 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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