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Simplifying 4(x + -1) + -1(7 + -2x) = 5x Reorder the terms: 4(-1 + x) + -1(7 + -2x) = 5x (-1 * 4 + x * 4) + -1(7 + -2x) = 5x (-4 + 4x) + -1(7 + -2x) = 5x -4 + 4x + (7 * -1 + -2x * -1) = 5x -4 + 4x + (-7 + 2x) = 5x Reorder the terms: -4 + -7 + 4x + 2x = 5x Combine like terms: -4 + -7 = -11 -11 + 4x + 2x = 5x Combine like terms: 4x + 2x = 6x -11 + 6x = 5x Solving -11 + 6x = 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. -11 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x -11 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 1x = 0 Add '11' to each side of the equation. -11 + 11 + 1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 0 + 11 1x = 0 + 11 Combine like terms: 0 + 11 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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