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Simplifying -4x + 7 = 3x + -35 Reorder the terms: 7 + -4x = 3x + -35 Reorder the terms: 7 + -4x = -35 + 3x Solving 7 + -4x = -35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -4x + -3x = -35 + 3x + -3x Combine like terms: -4x + -3x = -7x 7 + -7x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -7x = -35 + 0 7 + -7x = -35 Add '-7' to each side of the equation. 7 + -7 + -7x = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -35 + -7 -7x = -35 + -7 Combine like terms: -35 + -7 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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