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Simplifying (12 + 8x) + 7 = 1 + -1(7x + -3) Remove parenthesis around (12 + 8x) 12 + 8x + 7 = 1 + -1(7x + -3) Reorder the terms: 12 + 7 + 8x = 1 + -1(7x + -3) Combine like terms: 12 + 7 = 19 19 + 8x = 1 + -1(7x + -3) Reorder the terms: 19 + 8x = 1 + -1(-3 + 7x) 19 + 8x = 1 + (-3 * -1 + 7x * -1) 19 + 8x = 1 + (3 + -7x) Combine like terms: 1 + 3 = 4 19 + 8x = 4 + -7x Solving 19 + 8x = 4 + -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. 19 + 8x + 7x = 4 + -7x + 7x Combine like terms: 8x + 7x = 15x 19 + 15x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 19 + 15x = 4 + 0 19 + 15x = 4 Add '-19' to each side of the equation. 19 + -19 + 15x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 15x = 4 + -19 15x = 4 + -19 Combine like terms: 4 + -19 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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