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Simplifying 36.55(x + -1) + 89.99 = 23.75(x + -1) + 99.99 Reorder the terms: 36.55(-1 + x) + 89.99 = 23.75(x + -1) + 99.99 (-1 * 36.55 + x * 36.55) + 89.99 = 23.75(x + -1) + 99.99 (-36.55 + 36.55x) + 89.99 = 23.75(x + -1) + 99.99 Reorder the terms: -36.55 + 89.99 + 36.55x = 23.75(x + -1) + 99.99 Combine like terms: -36.55 + 89.99 = 53.44 53.44 + 36.55x = 23.75(x + -1) + 99.99 Reorder the terms: 53.44 + 36.55x = 23.75(-1 + x) + 99.99 53.44 + 36.55x = (-1 * 23.75 + x * 23.75) + 99.99 53.44 + 36.55x = (-23.75 + 23.75x) + 99.99 Reorder the terms: 53.44 + 36.55x = -23.75 + 99.99 + 23.75x Combine like terms: -23.75 + 99.99 = 76.24 53.44 + 36.55x = 76.24 + 23.75x Solving 53.44 + 36.55x = 76.24 + 23.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23.75x' to each side of the equation. 53.44 + 36.55x + -23.75x = 76.24 + 23.75x + -23.75x Combine like terms: 36.55x + -23.75x = 12.8x 53.44 + 12.8x = 76.24 + 23.75x + -23.75x Combine like terms: 23.75x + -23.75x = 0.00 53.44 + 12.8x = 76.24 + 0.00 53.44 + 12.8x = 76.24 Add '-53.44' to each side of the equation. 53.44 + -53.44 + 12.8x = 76.24 + -53.44 Combine like terms: 53.44 + -53.44 = 0.00 0.00 + 12.8x = 76.24 + -53.44 12.8x = 76.24 + -53.44 Combine like terms: 76.24 + -53.44 = 22.8 12.8x = 22.8 Divide each side by '12.8'. x = 1.78125 Simplifying x = 1.78125
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