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Simplifying 0.36(18) + 0.04x = 0.12(6 + x) Multiply 0.36 * 18 6.48 + 0.04x = 0.12(6 + x) 6.48 + 0.04x = (6 * 0.12 + x * 0.12) 6.48 + 0.04x = (0.72 + 0.12x) Solving 6.48 + 0.04x = 0.72 + 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 = 0.72 + 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x 6.48 + -0.08x = 0.72 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 6.48 + -0.08x = 0.72 + 0.00 6.48 + -0.08x = 0.72 Add '-6.48' to each side of the equation. 6.48 + -6.48 + -0.08x = 0.72 + -6.48 Combine like terms: 6.48 + -6.48 = 0.00 0.00 + -0.08x = 0.72 + -6.48 -0.08x = 0.72 + -6.48 Combine like terms: 0.72 + -6.48 = -5.76 -0.08x = -5.76 Divide each side by '-0.08'. x = 72 Simplifying x = 72
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