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Simplifying 33x + 90 = -30 + -93(x + 80) Reorder the terms: 90 + 33x = -30 + -93(x + 80) Reorder the terms: 90 + 33x = -30 + -93(80 + x) 90 + 33x = -30 + (80 * -93 + x * -93) 90 + 33x = -30 + (-7440 + -93x) Combine like terms: -30 + -7440 = -7470 90 + 33x = -7470 + -93x Solving 90 + 33x = -7470 + -93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '93x' to each side of the equation. 90 + 33x + 93x = -7470 + -93x + 93x Combine like terms: 33x + 93x = 126x 90 + 126x = -7470 + -93x + 93x Combine like terms: -93x + 93x = 0 90 + 126x = -7470 + 0 90 + 126x = -7470 Add '-90' to each side of the equation. 90 + -90 + 126x = -7470 + -90 Combine like terms: 90 + -90 = 0 0 + 126x = -7470 + -90 126x = -7470 + -90 Combine like terms: -7470 + -90 = -7560 126x = -7560 Divide each side by '126'. x = -60 Simplifying x = -60
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