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Simplifying 150 = 2x + 5(-7x + -3) Reorder the terms: 150 = 2x + 5(-3 + -7x) 150 = 2x + (-3 * 5 + -7x * 5) 150 = 2x + (-15 + -35x) Reorder the terms: 150 = -15 + 2x + -35x Combine like terms: 2x + -35x = -33x 150 = -15 + -33x Solving 150 = -15 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 150 + 33x = -15 + -33x + 33x Combine like terms: -33x + 33x = 0 150 + 33x = -15 + 0 150 + 33x = -15 Add '-150' to each side of the equation. 150 + -150 + 33x = -15 + -150 Combine like terms: 150 + -150 = 0 0 + 33x = -15 + -150 33x = -15 + -150 Combine like terms: -15 + -150 = -165 33x = -165 Divide each side by '33'. x = -5 Simplifying x = -5
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