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Simplifying 6 + -4(-2x + -3) + -5x = 51 Reorder the terms: 6 + -4(-3 + -2x) + -5x = 51 6 + (-3 * -4 + -2x * -4) + -5x = 51 6 + (12 + 8x) + -5x = 51 Combine like terms: 6 + 12 = 18 18 + 8x + -5x = 51 Combine like terms: 8x + -5x = 3x 18 + 3x = 51 Solving 18 + 3x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3x = 51 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 51 + -18 3x = 51 + -18 Combine like terms: 51 + -18 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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