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Simplifying 13 + -1(3x + 4) = 5(x + 7) + 1 Reorder the terms: 13 + -1(4 + 3x) = 5(x + 7) + 1 13 + (4 * -1 + 3x * -1) = 5(x + 7) + 1 13 + (-4 + -3x) = 5(x + 7) + 1 Combine like terms: 13 + -4 = 9 9 + -3x = 5(x + 7) + 1 Reorder the terms: 9 + -3x = 5(7 + x) + 1 9 + -3x = (7 * 5 + x * 5) + 1 9 + -3x = (35 + 5x) + 1 Reorder the terms: 9 + -3x = 35 + 1 + 5x Combine like terms: 35 + 1 = 36 9 + -3x = 36 + 5x Solving 9 + -3x = 36 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + -3x + -5x = 36 + 5x + -5x Combine like terms: -3x + -5x = -8x 9 + -8x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -8x = 36 + 0 9 + -8x = 36 Add '-9' to each side of the equation. 9 + -9 + -8x = 36 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 36 + -9 -8x = 36 + -9 Combine like terms: 36 + -9 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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