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Simplifying 7(x + -1) + -4x + -4(x + -2) = 2 Reorder the terms: 7(-1 + x) + -4x + -4(x + -2) = 2 (-1 * 7 + x * 7) + -4x + -4(x + -2) = 2 (-7 + 7x) + -4x + -4(x + -2) = 2 Reorder the terms: -7 + 7x + -4x + -4(-2 + x) = 2 -7 + 7x + -4x + (-2 * -4 + x * -4) = 2 -7 + 7x + -4x + (8 + -4x) = 2 Reorder the terms: -7 + 8 + 7x + -4x + -4x = 2 Combine like terms: -7 + 8 = 1 1 + 7x + -4x + -4x = 2 Combine like terms: 7x + -4x = 3x 1 + 3x + -4x = 2 Combine like terms: 3x + -4x = -1x 1 + -1x = 2 Solving 1 + -1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 2 + -1 -1x = 2 + -1 Combine like terms: 2 + -1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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