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Simplifying 2.5(3.8 + -7.6x) + -38 = -95 (3.8 * 2.5 + -7.6x * 2.5) + -38 = -95 (9.5 + -19x) + -38 = -95 Reorder the terms: 9.5 + -38 + -19x = -95 Combine like terms: 9.5 + -38 = -28.5 -28.5 + -19x = -95 Solving -28.5 + -19x = -95 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28.5' to each side of the equation. -28.5 + 28.5 + -19x = -95 + 28.5 Combine like terms: -28.5 + 28.5 = 0.0 0.0 + -19x = -95 + 28.5 -19x = -95 + 28.5 Combine like terms: -95 + 28.5 = -66.5 -19x = -66.5 Divide each side by '-19'. x = 3.5 Simplifying x = 3.5
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