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Simplifying 33(15x + 3) + -1x = 20(20x + -30) + -1(x + 1) Reorder the terms: 33(3 + 15x) + -1x = 20(20x + -30) + -1(x + 1) (3 * 33 + 15x * 33) + -1x = 20(20x + -30) + -1(x + 1) (99 + 495x) + -1x = 20(20x + -30) + -1(x + 1) Combine like terms: 495x + -1x = 494x 99 + 494x = 20(20x + -30) + -1(x + 1) Reorder the terms: 99 + 494x = 20(-30 + 20x) + -1(x + 1) 99 + 494x = (-30 * 20 + 20x * 20) + -1(x + 1) 99 + 494x = (-600 + 400x) + -1(x + 1) Reorder the terms: 99 + 494x = -600 + 400x + -1(1 + x) 99 + 494x = -600 + 400x + (1 * -1 + x * -1) 99 + 494x = -600 + 400x + (-1 + -1x) Reorder the terms: 99 + 494x = -600 + -1 + 400x + -1x Combine like terms: -600 + -1 = -601 99 + 494x = -601 + 400x + -1x Combine like terms: 400x + -1x = 399x 99 + 494x = -601 + 399x Solving 99 + 494x = -601 + 399x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-399x' to each side of the equation. 99 + 494x + -399x = -601 + 399x + -399x Combine like terms: 494x + -399x = 95x 99 + 95x = -601 + 399x + -399x Combine like terms: 399x + -399x = 0 99 + 95x = -601 + 0 99 + 95x = -601 Add '-99' to each side of the equation. 99 + -99 + 95x = -601 + -99 Combine like terms: 99 + -99 = 0 0 + 95x = -601 + -99 95x = -601 + -99 Combine like terms: -601 + -99 = -700 95x = -700 Divide each side by '95'. x = -7.368421053 Simplifying x = -7.368421053
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