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Simplifying 5x + 6x + -17 = 3(4x + 2) + 5 Reorder the terms: -17 + 5x + 6x = 3(4x + 2) + 5 Combine like terms: 5x + 6x = 11x -17 + 11x = 3(4x + 2) + 5 Reorder the terms: -17 + 11x = 3(2 + 4x) + 5 -17 + 11x = (2 * 3 + 4x * 3) + 5 -17 + 11x = (6 + 12x) + 5 Reorder the terms: -17 + 11x = 6 + 5 + 12x Combine like terms: 6 + 5 = 11 -17 + 11x = 11 + 12x Solving -17 + 11x = 11 + 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. -17 + 11x + -12x = 11 + 12x + -12x Combine like terms: 11x + -12x = -1x -17 + -1x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + -1x = 11 + 0 -17 + -1x = 11 Add '17' to each side of the equation. -17 + 17 + -1x = 11 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 11 + 17 -1x = 11 + 17 Combine like terms: 11 + 17 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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