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Simplifying -19 + -7x = 8(1 + -2x) -19 + -7x = (1 * 8 + -2x * 8) -19 + -7x = (8 + -16x) Solving -19 + -7x = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -19 + -7x + 16x = 8 + -16x + 16x Combine like terms: -7x + 16x = 9x -19 + 9x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 -19 + 9x = 8 + 0 -19 + 9x = 8 Add '19' to each side of the equation. -19 + 19 + 9x = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 9x = 8 + 19 9x = 8 + 19 Combine like terms: 8 + 19 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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