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Simplifying 0.35(x + 3) + -0.095(2x + 28) = 0 Reorder the terms: 0.35(3 + x) + -0.095(2x + 28) = 0 (3 * 0.35 + x * 0.35) + -0.095(2x + 28) = 0 (1.05 + 0.35x) + -0.095(2x + 28) = 0 Reorder the terms: 1.05 + 0.35x + -0.095(28 + 2x) = 0 1.05 + 0.35x + (28 * -0.095 + 2x * -0.095) = 0 1.05 + 0.35x + (-2.66 + -0.19x) = 0 Reorder the terms: 1.05 + -2.66 + 0.35x + -0.19x = 0 Combine like terms: 1.05 + -2.66 = -1.61 -1.61 + 0.35x + -0.19x = 0 Combine like terms: 0.35x + -0.19x = 0.16x -1.61 + 0.16x = 0 Solving -1.61 + 0.16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.61' to each side of the equation. -1.61 + 1.61 + 0.16x = 0 + 1.61 Combine like terms: -1.61 + 1.61 = 0.00 0.00 + 0.16x = 0 + 1.61 0.16x = 0 + 1.61 Combine like terms: 0 + 1.61 = 1.61 0.16x = 1.61 Divide each side by '0.16'. x = 10.0625 Simplifying x = 10.0625
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