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Simplifying 0.3(x + 10) + x = 6.9 + 0.3x Reorder the terms: 0.3(10 + x) + x = 6.9 + 0.3x (10 * 0.3 + x * 0.3) + x = 6.9 + 0.3x (3 + 0.3x) + x = 6.9 + 0.3x Combine like terms: 0.3x + x = 1.3x 3 + 1.3x = 6.9 + 0.3x Solving 3 + 1.3x = 6.9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 3 + 1.3x + -0.3x = 6.9 + 0.3x + -0.3x Combine like terms: 1.3x + -0.3x = 1x 3 + 1x = 6.9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + 1x = 6.9 + 0.0 3 + 1x = 6.9 Add '-3' to each side of the equation. 3 + -3 + 1x = 6.9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 6.9 + -3 1x = 6.9 + -3 Combine like terms: 6.9 + -3 = 3.9 1x = 3.9 Divide each side by '1'. x = 3.9 Simplifying x = 3.9
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