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Simplifying 5x + -7 + -13x + 4 = 24x + -7 + -12x + 17 Reorder the terms: -7 + 4 + 5x + -13x = 24x + -7 + -12x + 17 Combine like terms: -7 + 4 = -3 -3 + 5x + -13x = 24x + -7 + -12x + 17 Combine like terms: 5x + -13x = -8x -3 + -8x = 24x + -7 + -12x + 17 Reorder the terms: -3 + -8x = -7 + 17 + 24x + -12x Combine like terms: -7 + 17 = 10 -3 + -8x = 10 + 24x + -12x Combine like terms: 24x + -12x = 12x -3 + -8x = 10 + 12x Solving -3 + -8x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + -8x + -12x = 10 + 12x + -12x Combine like terms: -8x + -12x = -20x -3 + -20x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -20x = 10 + 0 -3 + -20x = 10 Add '3' to each side of the equation. -3 + 3 + -20x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -20x = 10 + 3 -20x = 10 + 3 Combine like terms: 10 + 3 = 13 -20x = 13 Divide each side by '-20'. x = -0.65 Simplifying x = -0.65
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