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Simplifying 2(3x + -8) = 4(2x + 7) + 4x + 6 Reorder the terms: 2(-8 + 3x) = 4(2x + 7) + 4x + 6 (-8 * 2 + 3x * 2) = 4(2x + 7) + 4x + 6 (-16 + 6x) = 4(2x + 7) + 4x + 6 Reorder the terms: -16 + 6x = 4(7 + 2x) + 4x + 6 -16 + 6x = (7 * 4 + 2x * 4) + 4x + 6 -16 + 6x = (28 + 8x) + 4x + 6 Reorder the terms: -16 + 6x = 28 + 6 + 8x + 4x Combine like terms: 28 + 6 = 34 -16 + 6x = 34 + 8x + 4x Combine like terms: 8x + 4x = 12x -16 + 6x = 34 + 12x Solving -16 + 6x = 34 + 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. -16 + 6x + -12x = 34 + 12x + -12x Combine like terms: 6x + -12x = -6x -16 + -6x = 34 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -6x = 34 + 0 -16 + -6x = 34 Add '16' to each side of the equation. -16 + 16 + -6x = 34 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 34 + 16 -6x = 34 + 16 Combine like terms: 34 + 16 = 50 -6x = 50 Divide each side by '-6'. x = -8.333333333 Simplifying x = -8.333333333
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