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Simplifying 1.14 = 3.8(x + 0.4) Reorder the terms: 1.14 = 3.8(0.4 + x) 1.14 = (0.4 * 3.8 + x * 3.8) 1.14 = (1.52 + 3.8x) Solving 1.14 = 1.52 + 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. 1.14 + -3.8x = 1.52 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 1.14 + -3.8x = 1.52 + 0.0 1.14 + -3.8x = 1.52 Add '-1.14' to each side of the equation. 1.14 + -1.14 + -3.8x = 1.52 + -1.14 Combine like terms: 1.14 + -1.14 = 0.00 0.00 + -3.8x = 1.52 + -1.14 -3.8x = 1.52 + -1.14 Combine like terms: 1.52 + -1.14 = 0.38 -3.8x = 0.38 Divide each side by '-3.8'. x = -0.1 Simplifying x = -0.1
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