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Simplifying 3(x + -12) + -12 = 26x + -117 Reorder the terms: 3(-12 + x) + -12 = 26x + -117 (-12 * 3 + x * 3) + -12 = 26x + -117 (-36 + 3x) + -12 = 26x + -117 Reorder the terms: -36 + -12 + 3x = 26x + -117 Combine like terms: -36 + -12 = -48 -48 + 3x = 26x + -117 Reorder the terms: -48 + 3x = -117 + 26x Solving -48 + 3x = -117 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -48 + 3x + -26x = -117 + 26x + -26x Combine like terms: 3x + -26x = -23x -48 + -23x = -117 + 26x + -26x Combine like terms: 26x + -26x = 0 -48 + -23x = -117 + 0 -48 + -23x = -117 Add '48' to each side of the equation. -48 + 48 + -23x = -117 + 48 Combine like terms: -48 + 48 = 0 0 + -23x = -117 + 48 -23x = -117 + 48 Combine like terms: -117 + 48 = -69 -23x = -69 Divide each side by '-23'. x = 3 Simplifying x = 3
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