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Simplifying 6x + 7 + -2x + 4 = 4(-3x + -5) + -17 Reorder the terms: 7 + 4 + 6x + -2x = 4(-3x + -5) + -17 Combine like terms: 7 + 4 = 11 11 + 6x + -2x = 4(-3x + -5) + -17 Combine like terms: 6x + -2x = 4x 11 + 4x = 4(-3x + -5) + -17 Reorder the terms: 11 + 4x = 4(-5 + -3x) + -17 11 + 4x = (-5 * 4 + -3x * 4) + -17 11 + 4x = (-20 + -12x) + -17 Reorder the terms: 11 + 4x = -20 + -17 + -12x Combine like terms: -20 + -17 = -37 11 + 4x = -37 + -12x Solving 11 + 4x = -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. 11 + 4x + 12x = -37 + -12x + 12x Combine like terms: 4x + 12x = 16x 11 + 16x = -37 + -12x + 12x Combine like terms: -12x + 12x = 0 11 + 16x = -37 + 0 11 + 16x = -37 Add '-11' to each side of the equation. 11 + -11 + 16x = -37 + -11 Combine like terms: 11 + -11 = 0 0 + 16x = -37 + -11 16x = -37 + -11 Combine like terms: -37 + -11 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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