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Simplifying 7(2x + -3) + 4(x + 8) = 0 Reorder the terms: 7(-3 + 2x) + 4(x + 8) = 0 (-3 * 7 + 2x * 7) + 4(x + 8) = 0 (-21 + 14x) + 4(x + 8) = 0 Reorder the terms: -21 + 14x + 4(8 + x) = 0 -21 + 14x + (8 * 4 + x * 4) = 0 -21 + 14x + (32 + 4x) = 0 Reorder the terms: -21 + 32 + 14x + 4x = 0 Combine like terms: -21 + 32 = 11 11 + 14x + 4x = 0 Combine like terms: 14x + 4x = 18x 11 + 18x = 0 Solving 11 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 18x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 18x = 0 + -11 18x = 0 + -11 Combine like terms: 0 + -11 = -11 18x = -11 Divide each side by '18'. x = -0.6111111111 Simplifying x = -0.6111111111
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