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Simplifying 23.57 + 7.7x = -3x + 0.9(1.4 + 6.5x) 23.57 + 7.7x = -3x + (1.4 * 0.9 + 6.5x * 0.9) 23.57 + 7.7x = -3x + (1.26 + 5.85x) Reorder the terms: 23.57 + 7.7x = 1.26 + -3x + 5.85x Combine like terms: -3x + 5.85x = 2.85x 23.57 + 7.7x = 1.26 + 2.85x Solving 23.57 + 7.7x = 1.26 + 2.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.85x' to each side of the equation. 23.57 + 7.7x + -2.85x = 1.26 + 2.85x + -2.85x Combine like terms: 7.7x + -2.85x = 4.85x 23.57 + 4.85x = 1.26 + 2.85x + -2.85x Combine like terms: 2.85x + -2.85x = 0.00 23.57 + 4.85x = 1.26 + 0.00 23.57 + 4.85x = 1.26 Add '-23.57' to each side of the equation. 23.57 + -23.57 + 4.85x = 1.26 + -23.57 Combine like terms: 23.57 + -23.57 = 0.00 0.00 + 4.85x = 1.26 + -23.57 4.85x = 1.26 + -23.57 Combine like terms: 1.26 + -23.57 = -22.31 4.85x = -22.31 Divide each side by '4.85'. x = -4.6 Simplifying x = -4.6
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