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Simplifying 150 = 3x + -4(6 + 8x) 150 = 3x + (6 * -4 + 8x * -4) 150 = 3x + (-24 + -32x) Reorder the terms: 150 = -24 + 3x + -32x Combine like terms: 3x + -32x = -29x 150 = -24 + -29x Solving 150 = -24 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 150 + 29x = -24 + -29x + 29x Combine like terms: -29x + 29x = 0 150 + 29x = -24 + 0 150 + 29x = -24 Add '-150' to each side of the equation. 150 + -150 + 29x = -24 + -150 Combine like terms: 150 + -150 = 0 0 + 29x = -24 + -150 29x = -24 + -150 Combine like terms: -24 + -150 = -174 29x = -174 Divide each side by '29'. x = -6 Simplifying x = -6
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