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Simplifying 0.36(18) + 0.04x = 0.12(18 + x) Multiply 0.36 * 18 6.48 + 0.04x = 0.12(18 + x) 6.48 + 0.04x = (18 * 0.12 + x * 0.12) 6.48 + 0.04x = (2.16 + 0.12x) Solving 6.48 + 0.04x = 2.16 + 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. 6.48 + 0.04x + -0.12x = 2.16 + 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x 6.48 + -0.08x = 2.16 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 6.48 + -0.08x = 2.16 + 0.00 6.48 + -0.08x = 2.16 Add '-6.48' to each side of the equation. 6.48 + -6.48 + -0.08x = 2.16 + -6.48 Combine like terms: 6.48 + -6.48 = 0.00 0.00 + -0.08x = 2.16 + -6.48 -0.08x = 2.16 + -6.48 Combine like terms: 2.16 + -6.48 = -4.32 -0.08x = -4.32 Divide each side by '-0.08'. x = 54 Simplifying x = 54
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