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Simplifying -6(4x + 1) + 6x = 84 Reorder the terms: -6(1 + 4x) + 6x = 84 (1 * -6 + 4x * -6) + 6x = 84 (-6 + -24x) + 6x = 84 Combine like terms: -24x + 6x = -18x -6 + -18x = 84 Solving -6 + -18x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -18x = 84 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 84 + 6 -18x = 84 + 6 Combine like terms: 84 + 6 = 90 -18x = 90 Divide each side by '-18'. x = -5 Simplifying x = -5
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