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Simplifying -7x + -4 + x + -6 = -1(3 + -8x) + -5(x + 5) Reorder the terms: -4 + -6 + -7x + x = -1(3 + -8x) + -5(x + 5) Combine like terms: -4 + -6 = -10 -10 + -7x + x = -1(3 + -8x) + -5(x + 5) Combine like terms: -7x + x = -6x -10 + -6x = -1(3 + -8x) + -5(x + 5) -10 + -6x = (3 * -1 + -8x * -1) + -5(x + 5) -10 + -6x = (-3 + 8x) + -5(x + 5) Reorder the terms: -10 + -6x = -3 + 8x + -5(5 + x) -10 + -6x = -3 + 8x + (5 * -5 + x * -5) -10 + -6x = -3 + 8x + (-25 + -5x) Reorder the terms: -10 + -6x = -3 + -25 + 8x + -5x Combine like terms: -3 + -25 = -28 -10 + -6x = -28 + 8x + -5x Combine like terms: 8x + -5x = 3x -10 + -6x = -28 + 3x Solving -10 + -6x = -28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + -6x + -3x = -28 + 3x + -3x Combine like terms: -6x + -3x = -9x -10 + -9x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -9x = -28 + 0 -10 + -9x = -28 Add '10' to each side of the equation. -10 + 10 + -9x = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -28 + 10 -9x = -28 + 10 Combine like terms: -28 + 10 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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