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Simplifying 12 + 7(x + 1) = (6x + -7) + -9 Reorder the terms: 12 + 7(1 + x) = (6x + -7) + -9 12 + (1 * 7 + x * 7) = (6x + -7) + -9 12 + (7 + 7x) = (6x + -7) + -9 Combine like terms: 12 + 7 = 19 19 + 7x = (6x + -7) + -9 Reorder the terms: 19 + 7x = (-7 + 6x) + -9 Remove parenthesis around (-7 + 6x) 19 + 7x = -7 + 6x + -9 Reorder the terms: 19 + 7x = -7 + -9 + 6x Combine like terms: -7 + -9 = -16 19 + 7x = -16 + 6x Solving 19 + 7x = -16 + 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. 19 + 7x + -6x = -16 + 6x + -6x Combine like terms: 7x + -6x = 1x 19 + 1x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + 1x = -16 + 0 19 + 1x = -16 Add '-19' to each side of the equation. 19 + -19 + 1x = -16 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = -16 + -19 1x = -16 + -19 Combine like terms: -16 + -19 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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