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Simplifying 0.36(6) + 0.04x = 0.12(36 + x) Multiply 0.36 * 6 2.16 + 0.04x = 0.12(36 + x) 2.16 + 0.04x = (36 * 0.12 + x * 0.12) 2.16 + 0.04x = (4.32 + 0.12x) Solving 2.16 + 0.04x = 4.32 + 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. 2.16 + 0.04x + -0.12x = 4.32 + 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x 2.16 + -0.08x = 4.32 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 2.16 + -0.08x = 4.32 + 0.00 2.16 + -0.08x = 4.32 Add '-2.16' to each side of the equation. 2.16 + -2.16 + -0.08x = 4.32 + -2.16 Combine like terms: 2.16 + -2.16 = 0.00 0.00 + -0.08x = 4.32 + -2.16 -0.08x = 4.32 + -2.16 Combine like terms: 4.32 + -2.16 = 2.16 -0.08x = 2.16 Divide each side by '-0.08'. x = -27 Simplifying x = -27
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