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Simplifying 7x + 3 = 2(3x + -1) + 5 Reorder the terms: 3 + 7x = 2(3x + -1) + 5 Reorder the terms: 3 + 7x = 2(-1 + 3x) + 5 3 + 7x = (-1 * 2 + 3x * 2) + 5 3 + 7x = (-2 + 6x) + 5 Reorder the terms: 3 + 7x = -2 + 5 + 6x Combine like terms: -2 + 5 = 3 3 + 7x = 3 + 6x Add '-3' to each side of the equation. 3 + -3 + 7x = 3 + -3 + 6x Combine like terms: 3 + -3 = 0 0 + 7x = 3 + -3 + 6x 7x = 3 + -3 + 6x Combine like terms: 3 + -3 = 0 7x = 0 + 6x 7x = 6x Solving 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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