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Simplifying 6(2x + -7) + -2(x + 2) + -16x = 0 Reorder the terms: 6(-7 + 2x) + -2(x + 2) + -16x = 0 (-7 * 6 + 2x * 6) + -2(x + 2) + -16x = 0 (-42 + 12x) + -2(x + 2) + -16x = 0 Reorder the terms: -42 + 12x + -2(2 + x) + -16x = 0 -42 + 12x + (2 * -2 + x * -2) + -16x = 0 -42 + 12x + (-4 + -2x) + -16x = 0 Reorder the terms: -42 + -4 + 12x + -2x + -16x = 0 Combine like terms: -42 + -4 = -46 -46 + 12x + -2x + -16x = 0 Combine like terms: 12x + -2x = 10x -46 + 10x + -16x = 0 Combine like terms: 10x + -16x = -6x -46 + -6x = 0 Solving -46 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -6x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -6x = 0 + 46 -6x = 0 + 46 Combine like terms: 0 + 46 = 46 -6x = 46 Divide each side by '-6'. x = -7.666666667 Simplifying x = -7.666666667
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