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Simplifying 4x + 2(4x + -6) = 6x + -17 Reorder the terms: 4x + 2(-6 + 4x) = 6x + -17 4x + (-6 * 2 + 4x * 2) = 6x + -17 4x + (-12 + 8x) = 6x + -17 Reorder the terms: -12 + 4x + 8x = 6x + -17 Combine like terms: 4x + 8x = 12x -12 + 12x = 6x + -17 Reorder the terms: -12 + 12x = -17 + 6x Solving -12 + 12x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 12x + -6x = -17 + 6x + -6x Combine like terms: 12x + -6x = 6x -12 + 6x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 6x = -17 + 0 -12 + 6x = -17 Add '12' to each side of the equation. -12 + 12 + 6x = -17 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -17 + 12 6x = -17 + 12 Combine like terms: -17 + 12 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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