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Simplifying 7(x + 4) + -5(x + 3) + (4 + -1x) = 0 Reorder the terms: 7(4 + x) + -5(x + 3) + (4 + -1x) = 0 (4 * 7 + x * 7) + -5(x + 3) + (4 + -1x) = 0 (28 + 7x) + -5(x + 3) + (4 + -1x) = 0 Reorder the terms: 28 + 7x + -5(3 + x) + (4 + -1x) = 0 28 + 7x + (3 * -5 + x * -5) + (4 + -1x) = 0 28 + 7x + (-15 + -5x) + (4 + -1x) = 0 Remove parenthesis around (4 + -1x) 28 + 7x + -15 + -5x + 4 + -1x = 0 Reorder the terms: 28 + -15 + 4 + 7x + -5x + -1x = 0 Combine like terms: 28 + -15 = 13 13 + 4 + 7x + -5x + -1x = 0 Combine like terms: 13 + 4 = 17 17 + 7x + -5x + -1x = 0 Combine like terms: 7x + -5x = 2x 17 + 2x + -1x = 0 Combine like terms: 2x + -1x = 1x 17 + 1x = 0 Solving 17 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 0 + -17 1x = 0 + -17 Combine like terms: 0 + -17 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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