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Simplifying -7(6 + -3x) + -6(1 + 4x) = 0 (6 * -7 + -3x * -7) + -6(1 + 4x) = 0 (-42 + 21x) + -6(1 + 4x) = 0 -42 + 21x + (1 * -6 + 4x * -6) = 0 -42 + 21x + (-6 + -24x) = 0 Reorder the terms: -42 + -6 + 21x + -24x = 0 Combine like terms: -42 + -6 = -48 -48 + 21x + -24x = 0 Combine like terms: 21x + -24x = -3x -48 + -3x = 0 Solving -48 + -3x = 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 + -3x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -3x = 0 + 48 -3x = 0 + 48 Combine like terms: 0 + 48 = 48 -3x = 48 Divide each side by '-3'. x = -16 Simplifying x = -16
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