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Simplifying 3x + 7(2x + -6) = -21 + -4x Reorder the terms: 3x + 7(-6 + 2x) = -21 + -4x 3x + (-6 * 7 + 2x * 7) = -21 + -4x 3x + (-42 + 14x) = -21 + -4x Reorder the terms: -42 + 3x + 14x = -21 + -4x Combine like terms: 3x + 14x = 17x -42 + 17x = -21 + -4x Solving -42 + 17x = -21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -42 + 17x + 4x = -21 + -4x + 4x Combine like terms: 17x + 4x = 21x -42 + 21x = -21 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + 21x = -21 + 0 -42 + 21x = -21 Add '42' to each side of the equation. -42 + 42 + 21x = -21 + 42 Combine like terms: -42 + 42 = 0 0 + 21x = -21 + 42 21x = -21 + 42 Combine like terms: -21 + 42 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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