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Simplifying x + -1(4 + -2x) = 7(x + -1) x + (4 * -1 + -2x * -1) = 7(x + -1) x + (-4 + 2x) = 7(x + -1) Reorder the terms: -4 + x + 2x = 7(x + -1) Combine like terms: x + 2x = 3x -4 + 3x = 7(x + -1) Reorder the terms: -4 + 3x = 7(-1 + x) -4 + 3x = (-1 * 7 + x * 7) -4 + 3x = (-7 + 7x) Solving -4 + 3x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 3x + -7x = -7 + 7x + -7x Combine like terms: 3x + -7x = -4x -4 + -4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -4x = -7 + 0 -4 + -4x = -7 Add '4' to each side of the equation. -4 + 4 + -4x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -7 + 4 -4x = -7 + 4 Combine like terms: -7 + 4 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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