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Simplifying 150 = 7x + 3(7x + -6) Reorder the terms: 150 = 7x + 3(-6 + 7x) 150 = 7x + (-6 * 3 + 7x * 3) 150 = 7x + (-18 + 21x) Reorder the terms: 150 = -18 + 7x + 21x Combine like terms: 7x + 21x = 28x 150 = -18 + 28x Solving 150 = -18 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 150 + -28x = -18 + 28x + -28x Combine like terms: 28x + -28x = 0 150 + -28x = -18 + 0 150 + -28x = -18 Add '-150' to each side of the equation. 150 + -150 + -28x = -18 + -150 Combine like terms: 150 + -150 = 0 0 + -28x = -18 + -150 -28x = -18 + -150 Combine like terms: -18 + -150 = -168 -28x = -168 Divide each side by '-28'. x = 6 Simplifying x = 6
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