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Simplifying 6.2x + 11.8 = 3.8(x + 1) Reorder the terms: 11.8 + 6.2x = 3.8(x + 1) Reorder the terms: 11.8 + 6.2x = 3.8(1 + x) 11.8 + 6.2x = (1 * 3.8 + x * 3.8) 11.8 + 6.2x = (3.8 + 3.8x) Solving 11.8 + 6.2x = 3.8 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. 11.8 + 6.2x + -3.8x = 3.8 + 3.8x + -3.8x Combine like terms: 6.2x + -3.8x = 2.4x 11.8 + 2.4x = 3.8 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 11.8 + 2.4x = 3.8 + 0.0 11.8 + 2.4x = 3.8 Add '-11.8' to each side of the equation. 11.8 + -11.8 + 2.4x = 3.8 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + 2.4x = 3.8 + -11.8 2.4x = 3.8 + -11.8 Combine like terms: 3.8 + -11.8 = -8 2.4x = -8 Divide each side by '2.4'. x = -3.333333333 Simplifying x = -3.333333333
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