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Simplifying 4(x + -6) + 2(4 + -7x) = 0 Reorder the terms: 4(-6 + x) + 2(4 + -7x) = 0 (-6 * 4 + x * 4) + 2(4 + -7x) = 0 (-24 + 4x) + 2(4 + -7x) = 0 -24 + 4x + (4 * 2 + -7x * 2) = 0 -24 + 4x + (8 + -14x) = 0 Reorder the terms: -24 + 8 + 4x + -14x = 0 Combine like terms: -24 + 8 = -16 -16 + 4x + -14x = 0 Combine like terms: 4x + -14x = -10x -16 + -10x = 0 Solving -16 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -10x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 0 + 16 -10x = 0 + 16 Combine like terms: 0 + 16 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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