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Simplifying 14.73 + 0.08(x + 3) = 12.85 + -0.09x Reorder the terms: 14.73 + 0.08(3 + x) = 12.85 + -0.09x 14.73 + (3 * 0.08 + x * 0.08) = 12.85 + -0.09x 14.73 + (0.24 + 0.08x) = 12.85 + -0.09x Combine like terms: 14.73 + 0.24 = 14.97 14.97 + 0.08x = 12.85 + -0.09x Solving 14.97 + 0.08x = 12.85 + -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. 14.97 + 0.08x + 0.09x = 12.85 + -0.09x + 0.09x Combine like terms: 0.08x + 0.09x = 0.17x 14.97 + 0.17x = 12.85 + -0.09x + 0.09x Combine like terms: -0.09x + 0.09x = 0.00 14.97 + 0.17x = 12.85 + 0.00 14.97 + 0.17x = 12.85 Add '-14.97' to each side of the equation. 14.97 + -14.97 + 0.17x = 12.85 + -14.97 Combine like terms: 14.97 + -14.97 = 0.00 0.00 + 0.17x = 12.85 + -14.97 0.17x = 12.85 + -14.97 Combine like terms: 12.85 + -14.97 = -2.12 0.17x = -2.12 Divide each side by '0.17'. x = -12.47058824 Simplifying x = -12.47058824
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