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Simplifying 0.35x + 0.5(14 + -1x) = 0.10(43) 0.35x + (14 * 0.5 + -1x * 0.5) = 0.10(43) 0.35x + (7 + -0.5x) = 0.10(43) Reorder the terms: 7 + 0.35x + -0.5x = 0.10(43) Combine like terms: 0.35x + -0.5x = -0.15x 7 + -0.15x = 0.10(43) Multiply 0.10 * 43 7 + -0.15x = 4.3 Solving 7 + -0.15x = 4.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -0.15x = 4.3 + -7 Combine like terms: 7 + -7 = 0 0 + -0.15x = 4.3 + -7 -0.15x = 4.3 + -7 Combine like terms: 4.3 + -7 = -2.7 -0.15x = -2.7 Divide each side by '-0.15'. x = 18 Simplifying x = 18
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