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Simplifying 13 + x = 0.4(43 + x) 13 + x = (43 * 0.4 + x * 0.4) 13 + x = (17.2 + 0.4x) Solving 13 + x = 17.2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 13 + x + -0.4x = 17.2 + 0.4x + -0.4x Combine like terms: x + -0.4x = 0.6x 13 + 0.6x = 17.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 13 + 0.6x = 17.2 + 0.0 13 + 0.6x = 17.2 Add '-13' to each side of the equation. 13 + -13 + 0.6x = 17.2 + -13 Combine like terms: 13 + -13 = 0 0 + 0.6x = 17.2 + -13 0.6x = 17.2 + -13 Combine like terms: 17.2 + -13 = 4.2 0.6x = 4.2 Divide each side by '0.6'. x = 7 Simplifying x = 7
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