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Simplifying 150 = 3x + -3(-7x + -10) Reorder the terms: 150 = 3x + -3(-10 + -7x) 150 = 3x + (-10 * -3 + -7x * -3) 150 = 3x + (30 + 21x) Reorder the terms: 150 = 30 + 3x + 21x Combine like terms: 3x + 21x = 24x 150 = 30 + 24x Solving 150 = 30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 150 + -24x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 150 + -24x = 30 + 0 150 + -24x = 30 Add '-150' to each side of the equation. 150 + -150 + -24x = 30 + -150 Combine like terms: 150 + -150 = 0 0 + -24x = 30 + -150 -24x = 30 + -150 Combine like terms: 30 + -150 = -120 -24x = -120 Divide each side by '-24'. x = 5 Simplifying x = 5
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