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Simplifying 8(x + 7) + -3(x + -1) = -6 Reorder the terms: 8(7 + x) + -3(x + -1) = -6 (7 * 8 + x * 8) + -3(x + -1) = -6 (56 + 8x) + -3(x + -1) = -6 Reorder the terms: 56 + 8x + -3(-1 + x) = -6 56 + 8x + (-1 * -3 + x * -3) = -6 56 + 8x + (3 + -3x) = -6 Reorder the terms: 56 + 3 + 8x + -3x = -6 Combine like terms: 56 + 3 = 59 59 + 8x + -3x = -6 Combine like terms: 8x + -3x = 5x 59 + 5x = -6 Solving 59 + 5x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 5x = -6 + -59 Combine like terms: 59 + -59 = 0 0 + 5x = -6 + -59 5x = -6 + -59 Combine like terms: -6 + -59 = -65 5x = -65 Divide each side by '5'. x = -13 Simplifying x = -13
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