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Simplifying 0.61x + -0.75 = -2.5(x + 1.5) Reorder the terms: -0.75 + 0.61x = -2.5(x + 1.5) Reorder the terms: -0.75 + 0.61x = -2.5(1.5 + x) -0.75 + 0.61x = (1.5 * -2.5 + x * -2.5) -0.75 + 0.61x = (-3.75 + -2.5x) Solving -0.75 + 0.61x = -3.75 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. -0.75 + 0.61x + 2.5x = -3.75 + -2.5x + 2.5x Combine like terms: 0.61x + 2.5x = 3.11x -0.75 + 3.11x = -3.75 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -0.75 + 3.11x = -3.75 + 0.0 -0.75 + 3.11x = -3.75 Add '0.75' to each side of the equation. -0.75 + 0.75 + 3.11x = -3.75 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 3.11x = -3.75 + 0.75 3.11x = -3.75 + 0.75 Combine like terms: -3.75 + 0.75 = -3 3.11x = -3 Divide each side by '3.11'. x = -0.9646302251 Simplifying x = -0.9646302251
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