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Simplifying 3x + -7x + 7 = 2x + -35 Reorder the terms: 7 + 3x + -7x = 2x + -35 Combine like terms: 3x + -7x = -4x 7 + -4x = 2x + -35 Reorder the terms: 7 + -4x = -35 + 2x Solving 7 + -4x = -35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -4x + -2x = -35 + 2x + -2x Combine like terms: -4x + -2x = -6x 7 + -6x = -35 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -6x = -35 + 0 7 + -6x = -35 Add '-7' to each side of the equation. 7 + -7 + -6x = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -35 + -7 -6x = -35 + -7 Combine like terms: -35 + -7 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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