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Simplifying 2(4x + 3) + (5 + -1x) + 7(3x + -4) = 200 + -1x + 5(2 + -1x) Reorder the terms: 2(3 + 4x) + (5 + -1x) + 7(3x + -4) = 200 + -1x + 5(2 + -1x) (3 * 2 + 4x * 2) + (5 + -1x) + 7(3x + -4) = 200 + -1x + 5(2 + -1x) (6 + 8x) + (5 + -1x) + 7(3x + -4) = 200 + -1x + 5(2 + -1x) Remove parenthesis around (5 + -1x) 6 + 8x + 5 + -1x + 7(3x + -4) = 200 + -1x + 5(2 + -1x) Reorder the terms: 6 + 8x + 5 + -1x + 7(-4 + 3x) = 200 + -1x + 5(2 + -1x) 6 + 8x + 5 + -1x + (-4 * 7 + 3x * 7) = 200 + -1x + 5(2 + -1x) 6 + 8x + 5 + -1x + (-28 + 21x) = 200 + -1x + 5(2 + -1x) Reorder the terms: 6 + 5 + -28 + 8x + -1x + 21x = 200 + -1x + 5(2 + -1x) Combine like terms: 6 + 5 = 11 11 + -28 + 8x + -1x + 21x = 200 + -1x + 5(2 + -1x) Combine like terms: 11 + -28 = -17 -17 + 8x + -1x + 21x = 200 + -1x + 5(2 + -1x) Combine like terms: 8x + -1x = 7x -17 + 7x + 21x = 200 + -1x + 5(2 + -1x) Combine like terms: 7x + 21x = 28x -17 + 28x = 200 + -1x + 5(2 + -1x) -17 + 28x = 200 + -1x + (2 * 5 + -1x * 5) -17 + 28x = 200 + -1x + (10 + -5x) Reorder the terms: -17 + 28x = 200 + 10 + -1x + -5x Combine like terms: 200 + 10 = 210 -17 + 28x = 210 + -1x + -5x Combine like terms: -1x + -5x = -6x -17 + 28x = 210 + -6x Solving -17 + 28x = 210 + -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. -17 + 28x + 6x = 210 + -6x + 6x Combine like terms: 28x + 6x = 34x -17 + 34x = 210 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 34x = 210 + 0 -17 + 34x = 210 Add '17' to each side of the equation. -17 + 17 + 34x = 210 + 17 Combine like terms: -17 + 17 = 0 0 + 34x = 210 + 17 34x = 210 + 17 Combine like terms: 210 + 17 = 227 34x = 227 Divide each side by '34'. x = 6.676470588 Simplifying x = 6.676470588
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