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Simplifying 3(2x + 1) + -7 = 5x + -4 Reorder the terms: 3(1 + 2x) + -7 = 5x + -4 (1 * 3 + 2x * 3) + -7 = 5x + -4 (3 + 6x) + -7 = 5x + -4 Reorder the terms: 3 + -7 + 6x = 5x + -4 Combine like terms: 3 + -7 = -4 -4 + 6x = 5x + -4 Reorder the terms: -4 + 6x = -4 + 5x Add '4' to each side of the equation. -4 + 4 + 6x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + 6x = -4 + 4 + 5x 6x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 6x = 0 + 5x 6x = 5x Solving 6x = 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. 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 1x = 5x + -5x Combine like terms: 5x + -5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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