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Simplifying 6x + 7 + -2 + 4 = 4(-3x + -5) + -17 Reorder the terms: 7 + -2 + 4 + 6x = 4(-3x + -5) + -17 Combine like terms: 7 + -2 = 5 5 + 4 + 6x = 4(-3x + -5) + -17 Combine like terms: 5 + 4 = 9 9 + 6x = 4(-3x + -5) + -17 Reorder the terms: 9 + 6x = 4(-5 + -3x) + -17 9 + 6x = (-5 * 4 + -3x * 4) + -17 9 + 6x = (-20 + -12x) + -17 Reorder the terms: 9 + 6x = -20 + -17 + -12x Combine like terms: -20 + -17 = -37 9 + 6x = -37 + -12x Solving 9 + 6x = -37 + -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. 9 + 6x + 12x = -37 + -12x + 12x Combine like terms: 6x + 12x = 18x 9 + 18x = -37 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 18x = -37 + 0 9 + 18x = -37 Add '-9' to each side of the equation. 9 + -9 + 18x = -37 + -9 Combine like terms: 9 + -9 = 0 0 + 18x = -37 + -9 18x = -37 + -9 Combine like terms: -37 + -9 = -46 18x = -46 Divide each side by '18'. x = -2.555555556 Simplifying x = -2.555555556
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