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Simplifying x(0.12)(1) + (135000 + -1x)(0.09)(1) = 0 Reorder the terms for easier multiplication: 0.12 * 1x + (135000 + -1x)(0.09)(1) = 0 Multiply 0.12 * 1 0.12x + (135000 + -1x)(0.09)(1) = 0 Reorder the terms for easier multiplication: 0.12x + 0.09 * 1(135000 + -1x) = 0 Multiply 0.09 * 1 0.12x + 0.09(135000 + -1x) = 0 0.12x + (135000 * 0.09 + -1x * 0.09) = 0 0.12x + (12150 + -0.09x) = 0 Reorder the terms: 12150 + 0.12x + -0.09x = 0 Combine like terms: 0.12x + -0.09x = 0.03x 12150 + 0.03x = 0 Solving 12150 + 0.03x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12150' to each side of the equation. 12150 + -12150 + 0.03x = 0 + -12150 Combine like terms: 12150 + -12150 = 0 0 + 0.03x = 0 + -12150 0.03x = 0 + -12150 Combine like terms: 0 + -12150 = -12150 0.03x = -12150 Divide each side by '0.03'. x = -405000 Simplifying x = -405000
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