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Simplifying 7(2x + 3) + -6x = 1 + -7x Reorder the terms: 7(3 + 2x) + -6x = 1 + -7x (3 * 7 + 2x * 7) + -6x = 1 + -7x (21 + 14x) + -6x = 1 + -7x Combine like terms: 14x + -6x = 8x 21 + 8x = 1 + -7x Solving 21 + 8x = 1 + -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. 21 + 8x + 7x = 1 + -7x + 7x Combine like terms: 8x + 7x = 15x 21 + 15x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 21 + 15x = 1 + 0 21 + 15x = 1 Add '-21' to each side of the equation. 21 + -21 + 15x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 15x = 1 + -21 15x = 1 + -21 Combine like terms: 1 + -21 = -20 15x = -20 Divide each side by '15'. x = -1.333333333 Simplifying x = -1.333333333
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