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Simplifying 2x + 7 + 6(x + 1) = -7x + -7 Reorder the terms: 2x + 7 + 6(1 + x) = -7x + -7 2x + 7 + (1 * 6 + x * 6) = -7x + -7 2x + 7 + (6 + 6x) = -7x + -7 Reorder the terms: 7 + 6 + 2x + 6x = -7x + -7 Combine like terms: 7 + 6 = 13 13 + 2x + 6x = -7x + -7 Combine like terms: 2x + 6x = 8x 13 + 8x = -7x + -7 Reorder the terms: 13 + 8x = -7 + -7x Solving 13 + 8x = -7 + -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. 13 + 8x + 7x = -7 + -7x + 7x Combine like terms: 8x + 7x = 15x 13 + 15x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + 15x = -7 + 0 13 + 15x = -7 Add '-13' to each side of the equation. 13 + -13 + 15x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 15x = -7 + -13 15x = -7 + -13 Combine like terms: -7 + -13 = -20 15x = -20 Divide each side by '15'. x = -1.333333333 Simplifying x = -1.333333333
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