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Simplifying 6(2x + -3) = 4 + -5(x + -5) Reorder the terms: 6(-3 + 2x) = 4 + -5(x + -5) (-3 * 6 + 2x * 6) = 4 + -5(x + -5) (-18 + 12x) = 4 + -5(x + -5) Reorder the terms: -18 + 12x = 4 + -5(-5 + x) -18 + 12x = 4 + (-5 * -5 + x * -5) -18 + 12x = 4 + (25 + -5x) Combine like terms: 4 + 25 = 29 -18 + 12x = 29 + -5x Solving -18 + 12x = 29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -18 + 12x + 5x = 29 + -5x + 5x Combine like terms: 12x + 5x = 17x -18 + 17x = 29 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 17x = 29 + 0 -18 + 17x = 29 Add '18' to each side of the equation. -18 + 18 + 17x = 29 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = 29 + 18 17x = 29 + 18 Combine like terms: 29 + 18 = 47 17x = 47 Divide each side by '17'. x = 2.764705882 Simplifying x = 2.764705882
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