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Simplifying (15x + -18) = (5x + 2) + (8x + 4) Reorder the terms: (-18 + 15x) = (5x + 2) + (8x + 4) Remove parenthesis around (-18 + 15x) -18 + 15x = (5x + 2) + (8x + 4) Reorder the terms: -18 + 15x = (2 + 5x) + (8x + 4) Remove parenthesis around (2 + 5x) -18 + 15x = 2 + 5x + (8x + 4) Reorder the terms: -18 + 15x = 2 + 5x + (4 + 8x) Remove parenthesis around (4 + 8x) -18 + 15x = 2 + 5x + 4 + 8x Reorder the terms: -18 + 15x = 2 + 4 + 5x + 8x Combine like terms: 2 + 4 = 6 -18 + 15x = 6 + 5x + 8x Combine like terms: 5x + 8x = 13x -18 + 15x = 6 + 13x Solving -18 + 15x = 6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -18 + 15x + -13x = 6 + 13x + -13x Combine like terms: 15x + -13x = 2x -18 + 2x = 6 + 13x + -13x Combine like terms: 13x + -13x = 0 -18 + 2x = 6 + 0 -18 + 2x = 6 Add '18' to each side of the equation. -18 + 18 + 2x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 6 + 18 2x = 6 + 18 Combine like terms: 6 + 18 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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