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Simplifying 2(3x + 23) + -4(15x + 100) = 200 + -10x Reorder the terms: 2(23 + 3x) + -4(15x + 100) = 200 + -10x (23 * 2 + 3x * 2) + -4(15x + 100) = 200 + -10x (46 + 6x) + -4(15x + 100) = 200 + -10x Reorder the terms: 46 + 6x + -4(100 + 15x) = 200 + -10x 46 + 6x + (100 * -4 + 15x * -4) = 200 + -10x 46 + 6x + (-400 + -60x) = 200 + -10x Reorder the terms: 46 + -400 + 6x + -60x = 200 + -10x Combine like terms: 46 + -400 = -354 -354 + 6x + -60x = 200 + -10x Combine like terms: 6x + -60x = -54x -354 + -54x = 200 + -10x Solving -354 + -54x = 200 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -354 + -54x + 10x = 200 + -10x + 10x Combine like terms: -54x + 10x = -44x -354 + -44x = 200 + -10x + 10x Combine like terms: -10x + 10x = 0 -354 + -44x = 200 + 0 -354 + -44x = 200 Add '354' to each side of the equation. -354 + 354 + -44x = 200 + 354 Combine like terms: -354 + 354 = 0 0 + -44x = 200 + 354 -44x = 200 + 354 Combine like terms: 200 + 354 = 554 -44x = 554 Divide each side by '-44'. x = -12.59090909 Simplifying x = -12.59090909
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