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Simplifying 6(x + -4) + -9 = 18x + -177 Reorder the terms: 6(-4 + x) + -9 = 18x + -177 (-4 * 6 + x * 6) + -9 = 18x + -177 (-24 + 6x) + -9 = 18x + -177 Reorder the terms: -24 + -9 + 6x = 18x + -177 Combine like terms: -24 + -9 = -33 -33 + 6x = 18x + -177 Reorder the terms: -33 + 6x = -177 + 18x Solving -33 + 6x = -177 + 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. -33 + 6x + -18x = -177 + 18x + -18x Combine like terms: 6x + -18x = -12x -33 + -12x = -177 + 18x + -18x Combine like terms: 18x + -18x = 0 -33 + -12x = -177 + 0 -33 + -12x = -177 Add '33' to each side of the equation. -33 + 33 + -12x = -177 + 33 Combine like terms: -33 + 33 = 0 0 + -12x = -177 + 33 -12x = -177 + 33 Combine like terms: -177 + 33 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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