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Simplifying 3x + -7 + 5x = -1(4x + -7) + 17 Reorder the terms: -7 + 3x + 5x = -1(4x + -7) + 17 Combine like terms: 3x + 5x = 8x -7 + 8x = -1(4x + -7) + 17 Reorder the terms: -7 + 8x = -1(-7 + 4x) + 17 -7 + 8x = (-7 * -1 + 4x * -1) + 17 -7 + 8x = (7 + -4x) + 17 Reorder the terms: -7 + 8x = 7 + 17 + -4x Combine like terms: 7 + 17 = 24 -7 + 8x = 24 + -4x Solving -7 + 8x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + 8x + 4x = 24 + -4x + 4x Combine like terms: 8x + 4x = 12x -7 + 12x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 12x = 24 + 0 -7 + 12x = 24 Add '7' to each side of the equation. -7 + 7 + 12x = 24 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 24 + 7 12x = 24 + 7 Combine like terms: 24 + 7 = 31 12x = 31 Divide each side by '12'. x = 2.583333333 Simplifying x = 2.583333333
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