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Simplifying 0.27(24) + 0.03x = 0.09(6 + x) Multiply 0.27 * 24 6.48 + 0.03x = 0.09(6 + x) 6.48 + 0.03x = (6 * 0.09 + x * 0.09) 6.48 + 0.03x = (0.54 + 0.09x) Solving 6.48 + 0.03x = 0.54 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 6.48 + 0.03x + -0.09x = 0.54 + 0.09x + -0.09x Combine like terms: 0.03x + -0.09x = -0.06x 6.48 + -0.06x = 0.54 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 6.48 + -0.06x = 0.54 + 0.00 6.48 + -0.06x = 0.54 Add '-6.48' to each side of the equation. 6.48 + -6.48 + -0.06x = 0.54 + -6.48 Combine like terms: 6.48 + -6.48 = 0.00 0.00 + -0.06x = 0.54 + -6.48 -0.06x = 0.54 + -6.48 Combine like terms: 0.54 + -6.48 = -5.94 -0.06x = -5.94 Divide each side by '-0.06'. x = 99 Simplifying x = 99
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