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Simplifying -7(1 + 2x) + 4(x + 1) = x + 8 + -1 + -6x (1 * -7 + 2x * -7) + 4(x + 1) = x + 8 + -1 + -6x (-7 + -14x) + 4(x + 1) = x + 8 + -1 + -6x Reorder the terms: -7 + -14x + 4(1 + x) = x + 8 + -1 + -6x -7 + -14x + (1 * 4 + x * 4) = x + 8 + -1 + -6x -7 + -14x + (4 + 4x) = x + 8 + -1 + -6x Reorder the terms: -7 + 4 + -14x + 4x = x + 8 + -1 + -6x Combine like terms: -7 + 4 = -3 -3 + -14x + 4x = x + 8 + -1 + -6x Combine like terms: -14x + 4x = -10x -3 + -10x = x + 8 + -1 + -6x Reorder the terms: -3 + -10x = 8 + -1 + x + -6x Combine like terms: 8 + -1 = 7 -3 + -10x = 7 + x + -6x Combine like terms: x + -6x = -5x -3 + -10x = 7 + -5x Solving -3 + -10x = 7 + -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. -3 + -10x + 5x = 7 + -5x + 5x Combine like terms: -10x + 5x = -5x -3 + -5x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + -5x = 7 + 0 -3 + -5x = 7 Add '3' to each side of the equation. -3 + 3 + -5x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 7 + 3 -5x = 7 + 3 Combine like terms: 7 + 3 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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