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Simplifying 0.9x + -1.3 = -3.1(x + -0.8) Reorder the terms: -1.3 + 0.9x = -3.1(x + -0.8) Reorder the terms: -1.3 + 0.9x = -3.1(-0.8 + x) -1.3 + 0.9x = (-0.8 * -3.1 + x * -3.1) -1.3 + 0.9x = (2.48 + -3.1x) Solving -1.3 + 0.9x = 2.48 + -3.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.1x' to each side of the equation. -1.3 + 0.9x + 3.1x = 2.48 + -3.1x + 3.1x Combine like terms: 0.9x + 3.1x = 4x -1.3 + 4x = 2.48 + -3.1x + 3.1x Combine like terms: -3.1x + 3.1x = 0.0 -1.3 + 4x = 2.48 + 0.0 -1.3 + 4x = 2.48 Add '1.3' to each side of the equation. -1.3 + 1.3 + 4x = 2.48 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 4x = 2.48 + 1.3 4x = 2.48 + 1.3 Combine like terms: 2.48 + 1.3 = 3.78 4x = 3.78 Divide each side by '4'. x = 0.945 Simplifying x = 0.945
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