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Simplifying 0.9 + 5.1x + -7 = 2(2.5x + -3) Reorder the terms: 0.9 + -7 + 5.1x = 2(2.5x + -3) Combine like terms: 0.9 + -7 = -6.1 -6.1 + 5.1x = 2(2.5x + -3) Reorder the terms: -6.1 + 5.1x = 2(-3 + 2.5x) -6.1 + 5.1x = (-3 * 2 + 2.5x * 2) -6.1 + 5.1x = (-6 + 5x) Solving -6.1 + 5.1x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6.1 + 5.1x + -5x = -6 + 5x + -5x Combine like terms: 5.1x + -5x = 0.1x -6.1 + 0.1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6.1 + 0.1x = -6 + 0 -6.1 + 0.1x = -6 Add '6.1' to each side of the equation. -6.1 + 6.1 + 0.1x = -6 + 6.1 Combine like terms: -6.1 + 6.1 = 0.0 0.0 + 0.1x = -6 + 6.1 0.1x = -6 + 6.1 Combine like terms: -6 + 6.1 = 0.1 0.1x = 0.1 Divide each side by '0.1'. x = 1 Simplifying x = 1
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