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Simplifying 3.9x + -38 = 2.9x + 7 Reorder the terms: -38 + 3.9x = 2.9x + 7 Reorder the terms: -38 + 3.9x = 7 + 2.9x Solving -38 + 3.9x = 7 + 2.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.9x' to each side of the equation. -38 + 3.9x + -2.9x = 7 + 2.9x + -2.9x Combine like terms: 3.9x + -2.9x = 1x -38 + 1x = 7 + 2.9x + -2.9x Combine like terms: 2.9x + -2.9x = 0.0 -38 + 1x = 7 + 0.0 -38 + 1x = 7 Add '38' to each side of the equation. -38 + 38 + 1x = 7 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = 7 + 38 1x = 7 + 38 Combine like terms: 7 + 38 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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