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Simplifying 7x + -4 = 3x + 2(4x + -1) Reorder the terms: -4 + 7x = 3x + 2(4x + -1) Reorder the terms: -4 + 7x = 3x + 2(-1 + 4x) -4 + 7x = 3x + (-1 * 2 + 4x * 2) -4 + 7x = 3x + (-2 + 8x) Reorder the terms: -4 + 7x = -2 + 3x + 8x Combine like terms: 3x + 8x = 11x -4 + 7x = -2 + 11x Solving -4 + 7x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -4 + 7x + -11x = -2 + 11x + -11x Combine like terms: 7x + -11x = -4x -4 + -4x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -4x = -2 + 0 -4 + -4x = -2 Add '4' to each side of the equation. -4 + 4 + -4x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -2 + 4 -4x = -2 + 4 Combine like terms: -2 + 4 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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