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Simplifying 7(x + -9) + -4 = 30x + -251 Reorder the terms: 7(-9 + x) + -4 = 30x + -251 (-9 * 7 + x * 7) + -4 = 30x + -251 (-63 + 7x) + -4 = 30x + -251 Reorder the terms: -63 + -4 + 7x = 30x + -251 Combine like terms: -63 + -4 = -67 -67 + 7x = 30x + -251 Reorder the terms: -67 + 7x = -251 + 30x Solving -67 + 7x = -251 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -67 + 7x + -30x = -251 + 30x + -30x Combine like terms: 7x + -30x = -23x -67 + -23x = -251 + 30x + -30x Combine like terms: 30x + -30x = 0 -67 + -23x = -251 + 0 -67 + -23x = -251 Add '67' to each side of the equation. -67 + 67 + -23x = -251 + 67 Combine like terms: -67 + 67 = 0 0 + -23x = -251 + 67 -23x = -251 + 67 Combine like terms: -251 + 67 = -184 -23x = -184 Divide each side by '-23'. x = 8 Simplifying x = 8
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