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Simplifying 2 + 3x = 5(-1x + 9) + -75 Reorder the terms: 2 + 3x = 5(9 + -1x) + -75 2 + 3x = (9 * 5 + -1x * 5) + -75 2 + 3x = (45 + -5x) + -75 Reorder the terms: 2 + 3x = 45 + -75 + -5x Combine like terms: 45 + -75 = -30 2 + 3x = -30 + -5x Solving 2 + 3x = -30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 3x + 5x = -30 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = -30 + 0 2 + 8x = -30 Add '-2' to each side of the equation. 2 + -2 + 8x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -30 + -2 8x = -30 + -2 Combine like terms: -30 + -2 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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