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Simplifying 5 + -2(x + 4) + -17 = 4(3x + -6) + 38 Reorder the terms: 5 + -2(4 + x) + -17 = 4(3x + -6) + 38 5 + (4 * -2 + x * -2) + -17 = 4(3x + -6) + 38 5 + (-8 + -2x) + -17 = 4(3x + -6) + 38 Reorder the terms: 5 + -8 + -17 + -2x = 4(3x + -6) + 38 Combine like terms: 5 + -8 = -3 -3 + -17 + -2x = 4(3x + -6) + 38 Combine like terms: -3 + -17 = -20 -20 + -2x = 4(3x + -6) + 38 Reorder the terms: -20 + -2x = 4(-6 + 3x) + 38 -20 + -2x = (-6 * 4 + 3x * 4) + 38 -20 + -2x = (-24 + 12x) + 38 Reorder the terms: -20 + -2x = -24 + 38 + 12x Combine like terms: -24 + 38 = 14 -20 + -2x = 14 + 12x Solving -20 + -2x = 14 + 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. -20 + -2x + -12x = 14 + 12x + -12x Combine like terms: -2x + -12x = -14x -20 + -14x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -14x = 14 + 0 -20 + -14x = 14 Add '20' to each side of the equation. -20 + 20 + -14x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + -14x = 14 + 20 -14x = 14 + 20 Combine like terms: 14 + 20 = 34 -14x = 34 Divide each side by '-14'. x = -2.428571429 Simplifying x = -2.428571429
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