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Simplifying 30 + -60(2x + -1) = 20(3x + 10) + -7(30x + -70) Reorder the terms: 30 + -60(-1 + 2x) = 20(3x + 10) + -7(30x + -70) 30 + (-1 * -60 + 2x * -60) = 20(3x + 10) + -7(30x + -70) 30 + (60 + -120x) = 20(3x + 10) + -7(30x + -70) Combine like terms: 30 + 60 = 90 90 + -120x = 20(3x + 10) + -7(30x + -70) Reorder the terms: 90 + -120x = 20(10 + 3x) + -7(30x + -70) 90 + -120x = (10 * 20 + 3x * 20) + -7(30x + -70) 90 + -120x = (200 + 60x) + -7(30x + -70) Reorder the terms: 90 + -120x = 200 + 60x + -7(-70 + 30x) 90 + -120x = 200 + 60x + (-70 * -7 + 30x * -7) 90 + -120x = 200 + 60x + (490 + -210x) Reorder the terms: 90 + -120x = 200 + 490 + 60x + -210x Combine like terms: 200 + 490 = 690 90 + -120x = 690 + 60x + -210x Combine like terms: 60x + -210x = -150x 90 + -120x = 690 + -150x Solving 90 + -120x = 690 + -150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150x' to each side of the equation. 90 + -120x + 150x = 690 + -150x + 150x Combine like terms: -120x + 150x = 30x 90 + 30x = 690 + -150x + 150x Combine like terms: -150x + 150x = 0 90 + 30x = 690 + 0 90 + 30x = 690 Add '-90' to each side of the equation. 90 + -90 + 30x = 690 + -90 Combine like terms: 90 + -90 = 0 0 + 30x = 690 + -90 30x = 690 + -90 Combine like terms: 690 + -90 = 600 30x = 600 Divide each side by '30'. x = 20 Simplifying x = 20
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