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Simplifying (0.08x + 20) + -1(0.12x + 8) = 0 Reorder the terms: (20 + 0.08x) + -1(0.12x + 8) = 0 Remove parenthesis around (20 + 0.08x) 20 + 0.08x + -1(0.12x + 8) = 0 Reorder the terms: 20 + 0.08x + -1(8 + 0.12x) = 0 20 + 0.08x + (8 * -1 + 0.12x * -1) = 0 20 + 0.08x + (-8 + -0.12x) = 0 Reorder the terms: 20 + -8 + 0.08x + -0.12x = 0 Combine like terms: 20 + -8 = 12 12 + 0.08x + -0.12x = 0 Combine like terms: 0.08x + -0.12x = -0.04x 12 + -0.04x = 0 Solving 12 + -0.04x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.04x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -0.04x = 0 + -12 -0.04x = 0 + -12 Combine like terms: 0 + -12 = -12 -0.04x = -12 Divide each side by '-0.04'. x = 300 Simplifying x = 300
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