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Simplifying x + 33 = 7x + -15 Reorder the terms: 33 + x = 7x + -15 Reorder the terms: 33 + x = -15 + 7x Solving 33 + x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 33 + x + -7x = -15 + 7x + -7x Combine like terms: x + -7x = -6x 33 + -6x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 33 + -6x = -15 + 0 33 + -6x = -15 Add '-33' to each side of the equation. 33 + -33 + -6x = -15 + -33 Combine like terms: 33 + -33 = 0 0 + -6x = -15 + -33 -6x = -15 + -33 Combine like terms: -15 + -33 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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