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Simplifying 8x + -3 + (7x + -1(3(x + 5) + 7)) = 7(x + 8) Reorder the terms: 8x + -3 + (7x + -1(3(5 + x) + 7)) = 7(x + 8) 8x + -3 + (7x + -1((5 * 3 + x * 3) + 7)) = 7(x + 8) 8x + -3 + (7x + -1((15 + 3x) + 7)) = 7(x + 8) Reorder the terms: 8x + -3 + (7x + -1(15 + 7 + 3x)) = 7(x + 8) Combine like terms: 15 + 7 = 22 8x + -3 + (7x + -1(22 + 3x)) = 7(x + 8) 8x + -3 + (7x + (22 * -1 + 3x * -1)) = 7(x + 8) 8x + -3 + (7x + (-22 + -3x)) = 7(x + 8) Reorder the terms: 8x + -3 + (-22 + 7x + -3x) = 7(x + 8) Combine like terms: 7x + -3x = 4x 8x + -3 + (-22 + 4x) = 7(x + 8) Remove parenthesis around (-22 + 4x) 8x + -3 + -22 + 4x = 7(x + 8) Reorder the terms: -3 + -22 + 8x + 4x = 7(x + 8) Combine like terms: -3 + -22 = -25 -25 + 8x + 4x = 7(x + 8) Combine like terms: 8x + 4x = 12x -25 + 12x = 7(x + 8) Reorder the terms: -25 + 12x = 7(8 + x) -25 + 12x = (8 * 7 + x * 7) -25 + 12x = (56 + 7x) Solving -25 + 12x = 56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -25 + 12x + -7x = 56 + 7x + -7x Combine like terms: 12x + -7x = 5x -25 + 5x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 -25 + 5x = 56 + 0 -25 + 5x = 56 Add '25' to each side of the equation. -25 + 25 + 5x = 56 + 25 Combine like terms: -25 + 25 = 0 0 + 5x = 56 + 25 5x = 56 + 25 Combine like terms: 56 + 25 = 81 5x = 81 Divide each side by '5'. x = 16.2 Simplifying x = 16.2
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