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Simplifying 7(x + -1) + -2(x + 1) = 4x + 5(2x + -5) Reorder the terms: 7(-1 + x) + -2(x + 1) = 4x + 5(2x + -5) (-1 * 7 + x * 7) + -2(x + 1) = 4x + 5(2x + -5) (-7 + 7x) + -2(x + 1) = 4x + 5(2x + -5) Reorder the terms: -7 + 7x + -2(1 + x) = 4x + 5(2x + -5) -7 + 7x + (1 * -2 + x * -2) = 4x + 5(2x + -5) -7 + 7x + (-2 + -2x) = 4x + 5(2x + -5) Reorder the terms: -7 + -2 + 7x + -2x = 4x + 5(2x + -5) Combine like terms: -7 + -2 = -9 -9 + 7x + -2x = 4x + 5(2x + -5) Combine like terms: 7x + -2x = 5x -9 + 5x = 4x + 5(2x + -5) Reorder the terms: -9 + 5x = 4x + 5(-5 + 2x) -9 + 5x = 4x + (-5 * 5 + 2x * 5) -9 + 5x = 4x + (-25 + 10x) Reorder the terms: -9 + 5x = -25 + 4x + 10x Combine like terms: 4x + 10x = 14x -9 + 5x = -25 + 14x Solving -9 + 5x = -25 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -9 + 5x + -14x = -25 + 14x + -14x Combine like terms: 5x + -14x = -9x -9 + -9x = -25 + 14x + -14x Combine like terms: 14x + -14x = 0 -9 + -9x = -25 + 0 -9 + -9x = -25 Add '9' to each side of the equation. -9 + 9 + -9x = -25 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = -25 + 9 -9x = -25 + 9 Combine like terms: -25 + 9 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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