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Simplifying -7(4 + -3x) = 7(6x + 5) (4 * -7 + -3x * -7) = 7(6x + 5) (-28 + 21x) = 7(6x + 5) Reorder the terms: -28 + 21x = 7(5 + 6x) -28 + 21x = (5 * 7 + 6x * 7) -28 + 21x = (35 + 42x) Solving -28 + 21x = 35 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -28 + 21x + -42x = 35 + 42x + -42x Combine like terms: 21x + -42x = -21x -28 + -21x = 35 + 42x + -42x Combine like terms: 42x + -42x = 0 -28 + -21x = 35 + 0 -28 + -21x = 35 Add '28' to each side of the equation. -28 + 28 + -21x = 35 + 28 Combine like terms: -28 + 28 = 0 0 + -21x = 35 + 28 -21x = 35 + 28 Combine like terms: 35 + 28 = 63 -21x = 63 Divide each side by '-21'. x = -3 Simplifying x = -3
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