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Simplifying 6(2x + -7) + -2(x + 3) + -16x = 0 Reorder the terms: 6(-7 + 2x) + -2(x + 3) + -16x = 0 (-7 * 6 + 2x * 6) + -2(x + 3) + -16x = 0 (-42 + 12x) + -2(x + 3) + -16x = 0 Reorder the terms: -42 + 12x + -2(3 + x) + -16x = 0 -42 + 12x + (3 * -2 + x * -2) + -16x = 0 -42 + 12x + (-6 + -2x) + -16x = 0 Reorder the terms: -42 + -6 + 12x + -2x + -16x = 0 Combine like terms: -42 + -6 = -48 -48 + 12x + -2x + -16x = 0 Combine like terms: 12x + -2x = 10x -48 + 10x + -16x = 0 Combine like terms: 10x + -16x = -6x -48 + -6x = 0 Solving -48 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -6x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -6x = 0 + 48 -6x = 0 + 48 Combine like terms: 0 + 48 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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