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Simplifying 78 = -6x + 6(1 + -2x) 78 = -6x + (1 * 6 + -2x * 6) 78 = -6x + (6 + -12x) Reorder the terms: 78 = 6 + -6x + -12x Combine like terms: -6x + -12x = -18x 78 = 6 + -18x Solving 78 = 6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 78 + 18x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 78 + 18x = 6 + 0 78 + 18x = 6 Add '-78' to each side of the equation. 78 + -78 + 18x = 6 + -78 Combine like terms: 78 + -78 = 0 0 + 18x = 6 + -78 18x = 6 + -78 Combine like terms: 6 + -78 = -72 18x = -72 Divide each side by '18'. x = -4 Simplifying x = -4
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