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Simplifying 6(4x + 9) + -15x = 4(5x + -2) + 3(6 + -9x) Reorder the terms: 6(9 + 4x) + -15x = 4(5x + -2) + 3(6 + -9x) (9 * 6 + 4x * 6) + -15x = 4(5x + -2) + 3(6 + -9x) (54 + 24x) + -15x = 4(5x + -2) + 3(6 + -9x) Combine like terms: 24x + -15x = 9x 54 + 9x = 4(5x + -2) + 3(6 + -9x) Reorder the terms: 54 + 9x = 4(-2 + 5x) + 3(6 + -9x) 54 + 9x = (-2 * 4 + 5x * 4) + 3(6 + -9x) 54 + 9x = (-8 + 20x) + 3(6 + -9x) 54 + 9x = -8 + 20x + (6 * 3 + -9x * 3) 54 + 9x = -8 + 20x + (18 + -27x) Reorder the terms: 54 + 9x = -8 + 18 + 20x + -27x Combine like terms: -8 + 18 = 10 54 + 9x = 10 + 20x + -27x Combine like terms: 20x + -27x = -7x 54 + 9x = 10 + -7x Solving 54 + 9x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 54 + 9x + 7x = 10 + -7x + 7x Combine like terms: 9x + 7x = 16x 54 + 16x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 54 + 16x = 10 + 0 54 + 16x = 10 Add '-54' to each side of the equation. 54 + -54 + 16x = 10 + -54 Combine like terms: 54 + -54 = 0 0 + 16x = 10 + -54 16x = 10 + -54 Combine like terms: 10 + -54 = -44 16x = -44 Divide each side by '16'. x = -2.75 Simplifying x = -2.75
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