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Simplifying 5(x + -30) = -1(2x + 138) Reorder the terms: 5(-30 + x) = -1(2x + 138) (-30 * 5 + x * 5) = -1(2x + 138) (-150 + 5x) = -1(2x + 138) Reorder the terms: -150 + 5x = -1(138 + 2x) -150 + 5x = (138 * -1 + 2x * -1) -150 + 5x = (-138 + -2x) Solving -150 + 5x = -138 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -150 + 5x + 2x = -138 + -2x + 2x Combine like terms: 5x + 2x = 7x -150 + 7x = -138 + -2x + 2x Combine like terms: -2x + 2x = 0 -150 + 7x = -138 + 0 -150 + 7x = -138 Add '150' to each side of the equation. -150 + 150 + 7x = -138 + 150 Combine like terms: -150 + 150 = 0 0 + 7x = -138 + 150 7x = -138 + 150 Combine like terms: -138 + 150 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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