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Simplifying -19 = -7x + 2(4x + -7) Reorder the terms: -19 = -7x + 2(-7 + 4x) -19 = -7x + (-7 * 2 + 4x * 2) -19 = -7x + (-14 + 8x) Reorder the terms: -19 = -14 + -7x + 8x Combine like terms: -7x + 8x = 1x -19 = -14 + 1x Solving -19 = -14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -19 + -1x = -14 + 1x + -1x Combine like terms: 1x + -1x = 0 -19 + -1x = -14 + 0 -19 + -1x = -14 Add '19' to each side of the equation. -19 + 19 + -1x = -14 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -14 + 19 -1x = -14 + 19 Combine like terms: -14 + 19 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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