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Simplifying 6(2x + -6) + -4(x + 3) + -16x = 0 Reorder the terms: 6(-6 + 2x) + -4(x + 3) + -16x = 0 (-6 * 6 + 2x * 6) + -4(x + 3) + -16x = 0 (-36 + 12x) + -4(x + 3) + -16x = 0 Reorder the terms: -36 + 12x + -4(3 + x) + -16x = 0 -36 + 12x + (3 * -4 + x * -4) + -16x = 0 -36 + 12x + (-12 + -4x) + -16x = 0 Reorder the terms: -36 + -12 + 12x + -4x + -16x = 0 Combine like terms: -36 + -12 = -48 -48 + 12x + -4x + -16x = 0 Combine like terms: 12x + -4x = 8x -48 + 8x + -16x = 0 Combine like terms: 8x + -16x = -8x -48 + -8x = 0 Solving -48 + -8x = 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 + -8x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = 0 + 48 -8x = 0 + 48 Combine like terms: 0 + 48 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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