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Simplifying (x + -2) + -4(1 + -2x) = 5x + -7 Reorder the terms: (-2 + x) + -4(1 + -2x) = 5x + -7 Remove parenthesis around (-2 + x) -2 + x + -4(1 + -2x) = 5x + -7 -2 + x + (1 * -4 + -2x * -4) = 5x + -7 -2 + x + (-4 + 8x) = 5x + -7 Reorder the terms: -2 + -4 + x + 8x = 5x + -7 Combine like terms: -2 + -4 = -6 -6 + x + 8x = 5x + -7 Combine like terms: x + 8x = 9x -6 + 9x = 5x + -7 Reorder the terms: -6 + 9x = -7 + 5x Solving -6 + 9x = -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. -6 + 9x + -5x = -7 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = -7 + 0 -6 + 4x = -7 Add '6' to each side of the equation. -6 + 6 + 4x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -7 + 6 4x = -7 + 6 Combine like terms: -7 + 6 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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