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Simplifying -2(x + 1) + -7 = 5x + 19 Reorder the terms: -2(1 + x) + -7 = 5x + 19 (1 * -2 + x * -2) + -7 = 5x + 19 (-2 + -2x) + -7 = 5x + 19 Reorder the terms: -2 + -7 + -2x = 5x + 19 Combine like terms: -2 + -7 = -9 -9 + -2x = 5x + 19 Reorder the terms: -9 + -2x = 19 + 5x Solving -9 + -2x = 19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + -2x + -5x = 19 + 5x + -5x Combine like terms: -2x + -5x = -7x -9 + -7x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -7x = 19 + 0 -9 + -7x = 19 Add '9' to each side of the equation. -9 + 9 + -7x = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 19 + 9 -7x = 19 + 9 Combine like terms: 19 + 9 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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