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Simplifying 8x + -1(x + 2) = 3(5x + -7) Reorder the terms: 8x + -1(2 + x) = 3(5x + -7) 8x + (2 * -1 + x * -1) = 3(5x + -7) 8x + (-2 + -1x) = 3(5x + -7) Reorder the terms: -2 + 8x + -1x = 3(5x + -7) Combine like terms: 8x + -1x = 7x -2 + 7x = 3(5x + -7) Reorder the terms: -2 + 7x = 3(-7 + 5x) -2 + 7x = (-7 * 3 + 5x * 3) -2 + 7x = (-21 + 15x) Solving -2 + 7x = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -2 + 7x + -15x = -21 + 15x + -15x Combine like terms: 7x + -15x = -8x -2 + -8x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -8x = -21 + 0 -2 + -8x = -21 Add '2' to each side of the equation. -2 + 2 + -8x = -21 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -21 + 2 -8x = -21 + 2 Combine like terms: -21 + 2 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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