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Simplifying 2(3x + 4) + 3(5x + 9) = 6x + -10 Reorder the terms: 2(4 + 3x) + 3(5x + 9) = 6x + -10 (4 * 2 + 3x * 2) + 3(5x + 9) = 6x + -10 (8 + 6x) + 3(5x + 9) = 6x + -10 Reorder the terms: 8 + 6x + 3(9 + 5x) = 6x + -10 8 + 6x + (9 * 3 + 5x * 3) = 6x + -10 8 + 6x + (27 + 15x) = 6x + -10 Reorder the terms: 8 + 27 + 6x + 15x = 6x + -10 Combine like terms: 8 + 27 = 35 35 + 6x + 15x = 6x + -10 Combine like terms: 6x + 15x = 21x 35 + 21x = 6x + -10 Reorder the terms: 35 + 21x = -10 + 6x Solving 35 + 21x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 21x + -6x = -10 + 6x + -6x Combine like terms: 21x + -6x = 15x 35 + 15x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 15x = -10 + 0 35 + 15x = -10 Add '-35' to each side of the equation. 35 + -35 + 15x = -10 + -35 Combine like terms: 35 + -35 = 0 0 + 15x = -10 + -35 15x = -10 + -35 Combine like terms: -10 + -35 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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