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Simplifying 0.90(3x + -6) = 1.3 + -1(x + -2) Reorder the terms: 0.90(-6 + 3x) = 1.3 + -1(x + -2) (-6 * 0.90 + 3x * 0.90) = 1.3 + -1(x + -2) (-5.4 + 2.7x) = 1.3 + -1(x + -2) Reorder the terms: -5.4 + 2.7x = 1.3 + -1(-2 + x) -5.4 + 2.7x = 1.3 + (-2 * -1 + x * -1) -5.4 + 2.7x = 1.3 + (2 + -1x) Combine like terms: 1.3 + 2 = 3.3 -5.4 + 2.7x = 3.3 + -1x Solving -5.4 + 2.7x = 3.3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5.4 + 2.7x + x = 3.3 + -1x + x Combine like terms: 2.7x + x = 3.7x -5.4 + 3.7x = 3.3 + -1x + x Combine like terms: -1x + x = 0 -5.4 + 3.7x = 3.3 + 0 -5.4 + 3.7x = 3.3 Add '5.4' to each side of the equation. -5.4 + 5.4 + 3.7x = 3.3 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 3.7x = 3.3 + 5.4 3.7x = 3.3 + 5.4 Combine like terms: 3.3 + 5.4 = 8.7 3.7x = 8.7 Divide each side by '3.7'. x = 2.351351351 Simplifying x = 2.351351351
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