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Simplifying 3.95 + 0.1(x + -50) = 2.95 + 0.09x Reorder the terms: 3.95 + 0.1(-50 + x) = 2.95 + 0.09x 3.95 + (-50 * 0.1 + x * 0.1) = 2.95 + 0.09x 3.95 + (-5 + 0.1x) = 2.95 + 0.09x Combine like terms: 3.95 + -5 = -1.05 -1.05 + 0.1x = 2.95 + 0.09x Solving -1.05 + 0.1x = 2.95 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. -1.05 + 0.1x + -0.09x = 2.95 + 0.09x + -0.09x Combine like terms: 0.1x + -0.09x = 0.01x -1.05 + 0.01x = 2.95 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 -1.05 + 0.01x = 2.95 + 0.00 -1.05 + 0.01x = 2.95 Add '1.05' to each side of the equation. -1.05 + 1.05 + 0.01x = 2.95 + 1.05 Combine like terms: -1.05 + 1.05 = 0.00 0.00 + 0.01x = 2.95 + 1.05 0.01x = 2.95 + 1.05 Combine like terms: 2.95 + 1.05 = 4 0.01x = 4 Divide each side by '0.01'. x = 400 Simplifying x = 400
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