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Simplifying 0.21x + 0.03(117) = 0.12(117 + x) Multiply 0.03 * 117 0.21x + 3.51 = 0.12(117 + x) Reorder the terms: 3.51 + 0.21x = 0.12(117 + x) 3.51 + 0.21x = (117 * 0.12 + x * 0.12) 3.51 + 0.21x = (14.04 + 0.12x) Solving 3.51 + 0.21x = 14.04 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 3.51 + 0.21x + -0.12x = 14.04 + 0.12x + -0.12x Combine like terms: 0.21x + -0.12x = 0.09x 3.51 + 0.09x = 14.04 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 3.51 + 0.09x = 14.04 + 0.00 3.51 + 0.09x = 14.04 Add '-3.51' to each side of the equation. 3.51 + -3.51 + 0.09x = 14.04 + -3.51 Combine like terms: 3.51 + -3.51 = 0.00 0.00 + 0.09x = 14.04 + -3.51 0.09x = 14.04 + -3.51 Combine like terms: 14.04 + -3.51 = 10.53 0.09x = 10.53 Divide each side by '0.09'. x = 117 Simplifying x = 117
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