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Simplifying 5(x + 7) + 4x = 7(x + -1) Reorder the terms: 5(7 + x) + 4x = 7(x + -1) (7 * 5 + x * 5) + 4x = 7(x + -1) (35 + 5x) + 4x = 7(x + -1) Combine like terms: 5x + 4x = 9x 35 + 9x = 7(x + -1) Reorder the terms: 35 + 9x = 7(-1 + x) 35 + 9x = (-1 * 7 + x * 7) 35 + 9x = (-7 + 7x) Solving 35 + 9x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 35 + 9x + -7x = -7 + 7x + -7x Combine like terms: 9x + -7x = 2x 35 + 2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 2x = -7 + 0 35 + 2x = -7 Add '-35' to each side of the equation. 35 + -35 + 2x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = -7 + -35 2x = -7 + -35 Combine like terms: -7 + -35 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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