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Simplifying 0.1(28.7 + 6x) = 1.3x (28.7 * 0.1 + 6x * 0.1) = 1.3x (2.87 + 0.6x) = 1.3x Solving 2.87 + 0.6x = 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 2.87 + 0.6x + -1.3x = 1.3x + -1.3x Combine like terms: 0.6x + -1.3x = -0.7x 2.87 + -0.7x = 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 2.87 + -0.7x = 0.0 Add '-2.87' to each side of the equation. 2.87 + -2.87 + -0.7x = 0.0 + -2.87 Combine like terms: 2.87 + -2.87 = 0.00 0.00 + -0.7x = 0.0 + -2.87 -0.7x = 0.0 + -2.87 Combine like terms: 0.0 + -2.87 = -2.87 -0.7x = -2.87 Divide each side by '-0.7'. x = 4.1 Simplifying x = 4.1
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