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Simplifying -6x + -78 = 18(x + -17) + -12 Reorder the terms: -78 + -6x = 18(x + -17) + -12 Reorder the terms: -78 + -6x = 18(-17 + x) + -12 -78 + -6x = (-17 * 18 + x * 18) + -12 -78 + -6x = (-306 + 18x) + -12 Reorder the terms: -78 + -6x = -306 + -12 + 18x Combine like terms: -306 + -12 = -318 -78 + -6x = -318 + 18x Solving -78 + -6x = -318 + 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 + -6x + -18x = -318 + 18x + -18x Combine like terms: -6x + -18x = -24x -78 + -24x = -318 + 18x + -18x Combine like terms: 18x + -18x = 0 -78 + -24x = -318 + 0 -78 + -24x = -318 Add '78' to each side of the equation. -78 + 78 + -24x = -318 + 78 Combine like terms: -78 + 78 = 0 0 + -24x = -318 + 78 -24x = -318 + 78 Combine like terms: -318 + 78 = -240 -24x = -240 Divide each side by '-24'. x = 10 Simplifying x = 10
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