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Simplifying 7(x + -1) = 7x + 8 + -3(-5x + -1) Reorder the terms: 7(-1 + x) = 7x + 8 + -3(-5x + -1) (-1 * 7 + x * 7) = 7x + 8 + -3(-5x + -1) (-7 + 7x) = 7x + 8 + -3(-5x + -1) Reorder the terms: -7 + 7x = 7x + 8 + -3(-1 + -5x) -7 + 7x = 7x + 8 + (-1 * -3 + -5x * -3) -7 + 7x = 7x + 8 + (3 + 15x) Reorder the terms: -7 + 7x = 8 + 3 + 7x + 15x Combine like terms: 8 + 3 = 11 -7 + 7x = 11 + 7x + 15x Combine like terms: 7x + 15x = 22x -7 + 7x = 11 + 22x Solving -7 + 7x = 11 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -7 + 7x + -22x = 11 + 22x + -22x Combine like terms: 7x + -22x = -15x -7 + -15x = 11 + 22x + -22x Combine like terms: 22x + -22x = 0 -7 + -15x = 11 + 0 -7 + -15x = 11 Add '7' to each side of the equation. -7 + 7 + -15x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -15x = 11 + 7 -15x = 11 + 7 Combine like terms: 11 + 7 = 18 -15x = 18 Divide each side by '-15'. x = -1.2 Simplifying x = -1.2
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