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Simplifying 7(1 + -1x) + -8x = -83 (1 * 7 + -1x * 7) + -8x = -83 (7 + -7x) + -8x = -83 Combine like terms: -7x + -8x = -15x 7 + -15x = -83 Solving 7 + -15x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -15x = -83 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = -83 + -7 -15x = -83 + -7 Combine like terms: -83 + -7 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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