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Simplifying 5(x + -9) + -12 = 30x + -157 Reorder the terms: 5(-9 + x) + -12 = 30x + -157 (-9 * 5 + x * 5) + -12 = 30x + -157 (-45 + 5x) + -12 = 30x + -157 Reorder the terms: -45 + -12 + 5x = 30x + -157 Combine like terms: -45 + -12 = -57 -57 + 5x = 30x + -157 Reorder the terms: -57 + 5x = -157 + 30x Solving -57 + 5x = -157 + 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. -57 + 5x + -30x = -157 + 30x + -30x Combine like terms: 5x + -30x = -25x -57 + -25x = -157 + 30x + -30x Combine like terms: 30x + -30x = 0 -57 + -25x = -157 + 0 -57 + -25x = -157 Add '57' to each side of the equation. -57 + 57 + -25x = -157 + 57 Combine like terms: -57 + 57 = 0 0 + -25x = -157 + 57 -25x = -157 + 57 Combine like terms: -157 + 57 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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