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Simplifying 7x + 7(-4x + -6) = 105 Reorder the terms: 7x + 7(-6 + -4x) = 105 7x + (-6 * 7 + -4x * 7) = 105 7x + (-42 + -28x) = 105 Reorder the terms: -42 + 7x + -28x = 105 Combine like terms: 7x + -28x = -21x -42 + -21x = 105 Solving -42 + -21x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -21x = 105 + 42 Combine like terms: -42 + 42 = 0 0 + -21x = 105 + 42 -21x = 105 + 42 Combine like terms: 105 + 42 = 147 -21x = 147 Divide each side by '-21'. x = -7 Simplifying x = -7
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