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Simplifying 6x + 7(1 + -3x) = 7 + 7x 6x + (1 * 7 + -3x * 7) = 7 + 7x 6x + (7 + -21x) = 7 + 7x Reorder the terms: 7 + 6x + -21x = 7 + 7x Combine like terms: 6x + -21x = -15x 7 + -15x = 7 + 7x Add '-7' to each side of the equation. 7 + -7 + -15x = 7 + -7 + 7x Combine like terms: 7 + -7 = 0 0 + -15x = 7 + -7 + 7x -15x = 7 + -7 + 7x Combine like terms: 7 + -7 = 0 -15x = 0 + 7x -15x = 7x Solving -15x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15x + -7x = 7x + -7x Combine like terms: -15x + -7x = -22x -22x = 7x + -7x Combine like terms: 7x + -7x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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