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Simplifying 6x + 7 = 4 + -3(2x + -1) Reorder the terms: 7 + 6x = 4 + -3(2x + -1) Reorder the terms: 7 + 6x = 4 + -3(-1 + 2x) 7 + 6x = 4 + (-1 * -3 + 2x * -3) 7 + 6x = 4 + (3 + -6x) Combine like terms: 4 + 3 = 7 7 + 6x = 7 + -6x Add '-7' to each side of the equation. 7 + -7 + 6x = 7 + -7 + -6x Combine like terms: 7 + -7 = 0 0 + 6x = 7 + -7 + -6x 6x = 7 + -7 + -6x Combine like terms: 7 + -7 = 0 6x = 0 + -6x 6x = -6x Solving 6x = -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. 6x + 6x = -6x + 6x Combine like terms: 6x + 6x = 12x 12x = -6x + 6x Combine like terms: -6x + 6x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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