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Simplifying (2x + -3) + 12x = 6(2x + 3) + 24 Reorder the terms: (-3 + 2x) + 12x = 6(2x + 3) + 24 Remove parenthesis around (-3 + 2x) -3 + 2x + 12x = 6(2x + 3) + 24 Combine like terms: 2x + 12x = 14x -3 + 14x = 6(2x + 3) + 24 Reorder the terms: -3 + 14x = 6(3 + 2x) + 24 -3 + 14x = (3 * 6 + 2x * 6) + 24 -3 + 14x = (18 + 12x) + 24 Reorder the terms: -3 + 14x = 18 + 24 + 12x Combine like terms: 18 + 24 = 42 -3 + 14x = 42 + 12x Solving -3 + 14x = 42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 14x + -12x = 42 + 12x + -12x Combine like terms: 14x + -12x = 2x -3 + 2x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + 2x = 42 + 0 -3 + 2x = 42 Add '3' to each side of the equation. -3 + 3 + 2x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 42 + 3 2x = 42 + 3 Combine like terms: 42 + 3 = 45 2x = 45 Divide each side by '2'. x = 22.5 Simplifying x = 22.5
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