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Simplifying 44 + 0.17x = 51 + 0.13x Solving 44 + 0.17x = 51 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 44 + 0.17x + -0.13x = 51 + 0.13x + -0.13x Combine like terms: 0.17x + -0.13x = 0.04x 44 + 0.04x = 51 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 44 + 0.04x = 51 + 0.00 44 + 0.04x = 51 Add '-44' to each side of the equation. 44 + -44 + 0.04x = 51 + -44 Combine like terms: 44 + -44 = 0 0 + 0.04x = 51 + -44 0.04x = 51 + -44 Combine like terms: 51 + -44 = 7 0.04x = 7 Divide each side by '0.04'. x = 175 Simplifying x = 175
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