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Simplifying -150 = -3x + -4(7x + -9) Reorder the terms: -150 = -3x + -4(-9 + 7x) -150 = -3x + (-9 * -4 + 7x * -4) -150 = -3x + (36 + -28x) Reorder the terms: -150 = 36 + -3x + -28x Combine like terms: -3x + -28x = -31x -150 = 36 + -31x Solving -150 = 36 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -150 + 31x = 36 + -31x + 31x Combine like terms: -31x + 31x = 0 -150 + 31x = 36 + 0 -150 + 31x = 36 Add '150' to each side of the equation. -150 + 150 + 31x = 36 + 150 Combine like terms: -150 + 150 = 0 0 + 31x = 36 + 150 31x = 36 + 150 Combine like terms: 36 + 150 = 186 31x = 186 Divide each side by '31'. x = 6 Simplifying x = 6
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