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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 = -8x 11 + -8x = -37 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -8x = -37 + 0 11 + -8x = -37 Add '-11' to each side of the equation. 11 + -11 + -8x = -37 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = -37 + -11 -8x = -37 + -11 Combine like terms: -37 + -11 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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