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Simplifying 15(x + 1) + -5(10x + 9) + 2(5x + 3) + 4 = 0 Reorder the terms: 15(1 + x) + -5(10x + 9) + 2(5x + 3) + 4 = 0 (1 * 15 + x * 15) + -5(10x + 9) + 2(5x + 3) + 4 = 0 (15 + 15x) + -5(10x + 9) + 2(5x + 3) + 4 = 0 Reorder the terms: 15 + 15x + -5(9 + 10x) + 2(5x + 3) + 4 = 0 15 + 15x + (9 * -5 + 10x * -5) + 2(5x + 3) + 4 = 0 15 + 15x + (-45 + -50x) + 2(5x + 3) + 4 = 0 Reorder the terms: 15 + 15x + -45 + -50x + 2(3 + 5x) + 4 = 0 15 + 15x + -45 + -50x + (3 * 2 + 5x * 2) + 4 = 0 15 + 15x + -45 + -50x + (6 + 10x) + 4 = 0 Reorder the terms: 15 + -45 + 6 + 4 + 15x + -50x + 10x = 0 Combine like terms: 15 + -45 = -30 -30 + 6 + 4 + 15x + -50x + 10x = 0 Combine like terms: -30 + 6 = -24 -24 + 4 + 15x + -50x + 10x = 0 Combine like terms: -24 + 4 = -20 -20 + 15x + -50x + 10x = 0 Combine like terms: 15x + -50x = -35x -20 + -35x + 10x = 0 Combine like terms: -35x + 10x = -25x -20 + -25x = 0 Solving -20 + -25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -25x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -25x = 0 + 20 -25x = 0 + 20 Combine like terms: 0 + 20 = 20 -25x = 20 Divide each side by '-25'. x = -0.8 Simplifying x = -0.8
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