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Simplifying -6x + 4(2x + -7) = -19 + -7x Reorder the terms: -6x + 4(-7 + 2x) = -19 + -7x -6x + (-7 * 4 + 2x * 4) = -19 + -7x -6x + (-28 + 8x) = -19 + -7x Reorder the terms: -28 + -6x + 8x = -19 + -7x Combine like terms: -6x + 8x = 2x -28 + 2x = -19 + -7x Solving -28 + 2x = -19 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -28 + 2x + 7x = -19 + -7x + 7x Combine like terms: 2x + 7x = 9x -28 + 9x = -19 + -7x + 7x Combine like terms: -7x + 7x = 0 -28 + 9x = -19 + 0 -28 + 9x = -19 Add '28' to each side of the equation. -28 + 28 + 9x = -19 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = -19 + 28 9x = -19 + 28 Combine like terms: -19 + 28 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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