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Simplifying 6x + 6 + 7(x + 1) = 6x + 3 Reorder the terms: 6x + 6 + 7(1 + x) = 6x + 3 6x + 6 + (1 * 7 + x * 7) = 6x + 3 6x + 6 + (7 + 7x) = 6x + 3 Reorder the terms: 6 + 7 + 6x + 7x = 6x + 3 Combine like terms: 6 + 7 = 13 13 + 6x + 7x = 6x + 3 Combine like terms: 6x + 7x = 13x 13 + 13x = 6x + 3 Reorder the terms: 13 + 13x = 3 + 6x Solving 13 + 13x = 3 + 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. 13 + 13x + -6x = 3 + 6x + -6x Combine like terms: 13x + -6x = 7x 13 + 7x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 7x = 3 + 0 13 + 7x = 3 Add '-13' to each side of the equation. 13 + -13 + 7x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 3 + -13 7x = 3 + -13 Combine like terms: 3 + -13 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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