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Simplifying 45 = (2x + 0.2(2x)) * 1.13 + 10 Remove parenthesis around (2x) 45 = (2x + 0.2 * 2x) * 1.13 + 10 Multiply 0.2 * 2 45 = (2x + 0.4x) * 1.13 + 10 Combine like terms: 2x + 0.4x = 2.4x 45 = (2.4x) * 1.13 + 10 Remove parenthesis around (2.4x) 45 = 2.4x * 1.13 + 10 Reorder the terms for easier multiplication: 45 = 2.4 * 1.13x + 10 Multiply 2.4 * 1.13 45 = 2.712x + 10 Reorder the terms: 45 = 10 + 2.712x Solving 45 = 10 + 2.712x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.712x' to each side of the equation. 45 + -2.712x = 10 + 2.712x + -2.712x Combine like terms: 2.712x + -2.712x = 0.000 45 + -2.712x = 10 + 0.000 45 + -2.712x = 10 Add '-45' to each side of the equation. 45 + -45 + -2.712x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + -2.712x = 10 + -45 -2.712x = 10 + -45 Combine like terms: 10 + -45 = -35 -2.712x = -35 Divide each side by '-2.712'. x = 12.90560472 Simplifying x = 12.90560472
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