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Simplifying 13x + -3(2x + -4) + -17 + 5x = 8x + -12 Reorder the terms: 13x + -3(-4 + 2x) + -17 + 5x = 8x + -12 13x + (-4 * -3 + 2x * -3) + -17 + 5x = 8x + -12 13x + (12 + -6x) + -17 + 5x = 8x + -12 Reorder the terms: 12 + -17 + 13x + -6x + 5x = 8x + -12 Combine like terms: 12 + -17 = -5 -5 + 13x + -6x + 5x = 8x + -12 Combine like terms: 13x + -6x = 7x -5 + 7x + 5x = 8x + -12 Combine like terms: 7x + 5x = 12x -5 + 12x = 8x + -12 Reorder the terms: -5 + 12x = -12 + 8x Solving -5 + 12x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 12x + -8x = -12 + 8x + -8x Combine like terms: 12x + -8x = 4x -5 + 4x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 4x = -12 + 0 -5 + 4x = -12 Add '5' to each side of the equation. -5 + 5 + 4x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = -12 + 5 4x = -12 + 5 Combine like terms: -12 + 5 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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