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Simplifying 4(9x + 30) + -20 = -3(16x + -72) Reorder the terms: 4(30 + 9x) + -20 = -3(16x + -72) (30 * 4 + 9x * 4) + -20 = -3(16x + -72) (120 + 36x) + -20 = -3(16x + -72) Reorder the terms: 120 + -20 + 36x = -3(16x + -72) Combine like terms: 120 + -20 = 100 100 + 36x = -3(16x + -72) Reorder the terms: 100 + 36x = -3(-72 + 16x) 100 + 36x = (-72 * -3 + 16x * -3) 100 + 36x = (216 + -48x) Solving 100 + 36x = 216 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 100 + 36x + 48x = 216 + -48x + 48x Combine like terms: 36x + 48x = 84x 100 + 84x = 216 + -48x + 48x Combine like terms: -48x + 48x = 0 100 + 84x = 216 + 0 100 + 84x = 216 Add '-100' to each side of the equation. 100 + -100 + 84x = 216 + -100 Combine like terms: 100 + -100 = 0 0 + 84x = 216 + -100 84x = 216 + -100 Combine like terms: 216 + -100 = 116 84x = 116 Divide each side by '84'. x = 1.380952381 Simplifying x = 1.380952381
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