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Simplifying 3x + -6(5 + -1x) + 14 + -16x = -1(2x + 8) + 2 3x + (5 * -6 + -1x * -6) + 14 + -16x = -1(2x + 8) + 2 3x + (-30 + 6x) + 14 + -16x = -1(2x + 8) + 2 Reorder the terms: -30 + 14 + 3x + 6x + -16x = -1(2x + 8) + 2 Combine like terms: -30 + 14 = -16 -16 + 3x + 6x + -16x = -1(2x + 8) + 2 Combine like terms: 3x + 6x = 9x -16 + 9x + -16x = -1(2x + 8) + 2 Combine like terms: 9x + -16x = -7x -16 + -7x = -1(2x + 8) + 2 Reorder the terms: -16 + -7x = -1(8 + 2x) + 2 -16 + -7x = (8 * -1 + 2x * -1) + 2 -16 + -7x = (-8 + -2x) + 2 Reorder the terms: -16 + -7x = -8 + 2 + -2x Combine like terms: -8 + 2 = -6 -16 + -7x = -6 + -2x Solving -16 + -7x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + -7x + 2x = -6 + -2x + 2x Combine like terms: -7x + 2x = -5x -16 + -5x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + -5x = -6 + 0 -16 + -5x = -6 Add '16' to each side of the equation. -16 + 16 + -5x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = -6 + 16 -5x = -6 + 16 Combine like terms: -6 + 16 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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