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Simplifying -7x + 7(3x + -6) = -19 + -9x Reorder the terms: -7x + 7(-6 + 3x) = -19 + -9x -7x + (-6 * 7 + 3x * 7) = -19 + -9x -7x + (-42 + 21x) = -19 + -9x Reorder the terms: -42 + -7x + 21x = -19 + -9x Combine like terms: -7x + 21x = 14x -42 + 14x = -19 + -9x Solving -42 + 14x = -19 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + 14x + 9x = -19 + -9x + 9x Combine like terms: 14x + 9x = 23x -42 + 23x = -19 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 23x = -19 + 0 -42 + 23x = -19 Add '42' to each side of the equation. -42 + 42 + 23x = -19 + 42 Combine like terms: -42 + 42 = 0 0 + 23x = -19 + 42 23x = -19 + 42 Combine like terms: -19 + 42 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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