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Simplifying 3(x + -9) + -10 = 26x + -290 Reorder the terms: 3(-9 + x) + -10 = 26x + -290 (-9 * 3 + x * 3) + -10 = 26x + -290 (-27 + 3x) + -10 = 26x + -290 Reorder the terms: -27 + -10 + 3x = 26x + -290 Combine like terms: -27 + -10 = -37 -37 + 3x = 26x + -290 Reorder the terms: -37 + 3x = -290 + 26x Solving -37 + 3x = -290 + 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. -37 + 3x + -26x = -290 + 26x + -26x Combine like terms: 3x + -26x = -23x -37 + -23x = -290 + 26x + -26x Combine like terms: 26x + -26x = 0 -37 + -23x = -290 + 0 -37 + -23x = -290 Add '37' to each side of the equation. -37 + 37 + -23x = -290 + 37 Combine like terms: -37 + 37 = 0 0 + -23x = -290 + 37 -23x = -290 + 37 Combine like terms: -290 + 37 = -253 -23x = -253 Divide each side by '-23'. x = 11 Simplifying x = 11
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