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Simplifying 5x + 7 + -2x = 9 + -1(4x + 2) Reorder the terms: 7 + 5x + -2x = 9 + -1(4x + 2) Combine like terms: 5x + -2x = 3x 7 + 3x = 9 + -1(4x + 2) Reorder the terms: 7 + 3x = 9 + -1(2 + 4x) 7 + 3x = 9 + (2 * -1 + 4x * -1) 7 + 3x = 9 + (-2 + -4x) Combine like terms: 9 + -2 = 7 7 + 3x = 7 + -4x Add '-7' to each side of the equation. 7 + -7 + 3x = 7 + -7 + -4x Combine like terms: 7 + -7 = 0 0 + 3x = 7 + -7 + -4x 3x = 7 + -7 + -4x Combine like terms: 7 + -7 = 0 3x = 0 + -4x 3x = -4x Solving 3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x 7x = -4x + 4x Combine like terms: -4x + 4x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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