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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 = 63x -28 + 63x = 35 + -42x + 42x Combine like terms: -42x + 42x = 0 -28 + 63x = 35 + 0 -28 + 63x = 35 Add '28' to each side of the equation. -28 + 28 + 63x = 35 + 28 Combine like terms: -28 + 28 = 0 0 + 63x = 35 + 28 63x = 35 + 28 Combine like terms: 35 + 28 = 63 63x = 63 Divide each side by '63'. x = 1 Simplifying x = 1
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