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Simplifying -4x + 15 + 7x = 2 + -5x + -35 Reorder the terms: 15 + -4x + 7x = 2 + -5x + -35 Combine like terms: -4x + 7x = 3x 15 + 3x = 2 + -5x + -35 Reorder the terms: 15 + 3x = 2 + -35 + -5x Combine like terms: 2 + -35 = -33 15 + 3x = -33 + -5x Solving 15 + 3x = -33 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + 3x + 5x = -33 + -5x + 5x Combine like terms: 3x + 5x = 8x 15 + 8x = -33 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 8x = -33 + 0 15 + 8x = -33 Add '-15' to each side of the equation. 15 + -15 + 8x = -33 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -33 + -15 8x = -33 + -15 Combine like terms: -33 + -15 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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