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Simplifying 5(x + -30) = -3(2x + 138) Reorder the terms: 5(-30 + x) = -3(2x + 138) (-30 * 5 + x * 5) = -3(2x + 138) (-150 + 5x) = -3(2x + 138) Reorder the terms: -150 + 5x = -3(138 + 2x) -150 + 5x = (138 * -3 + 2x * -3) -150 + 5x = (-414 + -6x) Solving -150 + 5x = -414 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -150 + 5x + 6x = -414 + -6x + 6x Combine like terms: 5x + 6x = 11x -150 + 11x = -414 + -6x + 6x Combine like terms: -6x + 6x = 0 -150 + 11x = -414 + 0 -150 + 11x = -414 Add '150' to each side of the equation. -150 + 150 + 11x = -414 + 150 Combine like terms: -150 + 150 = 0 0 + 11x = -414 + 150 11x = -414 + 150 Combine like terms: -414 + 150 = -264 11x = -264 Divide each side by '11'. x = -24 Simplifying x = -24
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