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Simplifying 7(x + -1) + -2(x + 1) = (4x + 5)(-2) Reorder the terms: 7(-1 + x) + -2(x + 1) = (4x + 5)(-2) (-1 * 7 + x * 7) + -2(x + 1) = (4x + 5)(-2) (-7 + 7x) + -2(x + 1) = (4x + 5)(-2) Reorder the terms: -7 + 7x + -2(1 + x) = (4x + 5)(-2) -7 + 7x + (1 * -2 + x * -2) = (4x + 5)(-2) -7 + 7x + (-2 + -2x) = (4x + 5)(-2) Reorder the terms: -7 + -2 + 7x + -2x = (4x + 5)(-2) Combine like terms: -7 + -2 = -9 -9 + 7x + -2x = (4x + 5)(-2) Combine like terms: 7x + -2x = 5x -9 + 5x = (4x + 5)(-2) Reorder the terms: -9 + 5x = (5 + 4x)(-2) Reorder the terms for easier multiplication: -9 + 5x = -2(5 + 4x) -9 + 5x = (5 * -2 + 4x * -2) -9 + 5x = (-10 + -8x) Solving -9 + 5x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 5x + 8x = -10 + -8x + 8x Combine like terms: 5x + 8x = 13x -9 + 13x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 13x = -10 + 0 -9 + 13x = -10 Add '9' to each side of the equation. -9 + 9 + 13x = -10 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = -10 + 9 13x = -10 + 9 Combine like terms: -10 + 9 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692
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