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Simplifying 0.27(24) + 0.03x = 0.09(18x + x) Multiply 0.27 * 24 6.48 + 0.03x = 0.09(18x + x) Combine like terms: 18x + x = 19x 6.48 + 0.03x = 0.09(19x) Remove parenthesis around (19x) 6.48 + 0.03x = 0.09 * 19x Multiply 0.09 * 19 6.48 + 0.03x = 1.71x Solving 6.48 + 0.03x = 1.71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.71x' to each side of the equation. 6.48 + 0.03x + -1.71x = 1.71x + -1.71x Combine like terms: 0.03x + -1.71x = -1.68x 6.48 + -1.68x = 1.71x + -1.71x Combine like terms: 1.71x + -1.71x = 0.00 6.48 + -1.68x = 0.00 Add '-6.48' to each side of the equation. 6.48 + -6.48 + -1.68x = 0.00 + -6.48 Combine like terms: 6.48 + -6.48 = 0.00 0.00 + -1.68x = 0.00 + -6.48 -1.68x = 0.00 + -6.48 Combine like terms: 0.00 + -6.48 = -6.48 -1.68x = -6.48 Divide each side by '-1.68'. x = 3.857142857 Simplifying x = 3.857142857
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