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Simplifying 4(x + -1) + -5(2x + 1) = 2 + -7(5x + 1) Reorder the terms: 4(-1 + x) + -5(2x + 1) = 2 + -7(5x + 1) (-1 * 4 + x * 4) + -5(2x + 1) = 2 + -7(5x + 1) (-4 + 4x) + -5(2x + 1) = 2 + -7(5x + 1) Reorder the terms: -4 + 4x + -5(1 + 2x) = 2 + -7(5x + 1) -4 + 4x + (1 * -5 + 2x * -5) = 2 + -7(5x + 1) -4 + 4x + (-5 + -10x) = 2 + -7(5x + 1) Reorder the terms: -4 + -5 + 4x + -10x = 2 + -7(5x + 1) Combine like terms: -4 + -5 = -9 -9 + 4x + -10x = 2 + -7(5x + 1) Combine like terms: 4x + -10x = -6x -9 + -6x = 2 + -7(5x + 1) Reorder the terms: -9 + -6x = 2 + -7(1 + 5x) -9 + -6x = 2 + (1 * -7 + 5x * -7) -9 + -6x = 2 + (-7 + -35x) Combine like terms: 2 + -7 = -5 -9 + -6x = -5 + -35x Solving -9 + -6x = -5 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -9 + -6x + 35x = -5 + -35x + 35x Combine like terms: -6x + 35x = 29x -9 + 29x = -5 + -35x + 35x Combine like terms: -35x + 35x = 0 -9 + 29x = -5 + 0 -9 + 29x = -5 Add '9' to each side of the equation. -9 + 9 + 29x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 29x = -5 + 9 29x = -5 + 9 Combine like terms: -5 + 9 = 4 29x = 4 Divide each side by '29'. x = 0.1379310345 Simplifying x = 0.1379310345
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