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Simplifying 8(3x + 8) + -6(-3x + -7) = -20 Reorder the terms: 8(8 + 3x) + -6(-3x + -7) = -20 (8 * 8 + 3x * 8) + -6(-3x + -7) = -20 (64 + 24x) + -6(-3x + -7) = -20 Reorder the terms: 64 + 24x + -6(-7 + -3x) = -20 64 + 24x + (-7 * -6 + -3x * -6) = -20 64 + 24x + (42 + 18x) = -20 Reorder the terms: 64 + 42 + 24x + 18x = -20 Combine like terms: 64 + 42 = 106 106 + 24x + 18x = -20 Combine like terms: 24x + 18x = 42x 106 + 42x = -20 Solving 106 + 42x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 42x = -20 + -106 Combine like terms: 106 + -106 = 0 0 + 42x = -20 + -106 42x = -20 + -106 Combine like terms: -20 + -106 = -126 42x = -126 Divide each side by '42'. x = -3 Simplifying x = -3
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