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Simplifying 7(x + -1) + -3.5x = 2.5x + 5 Reorder the terms: 7(-1 + x) + -3.5x = 2.5x + 5 (-1 * 7 + x * 7) + -3.5x = 2.5x + 5 (-7 + 7x) + -3.5x = 2.5x + 5 Combine like terms: 7x + -3.5x = 3.5x -7 + 3.5x = 2.5x + 5 Reorder the terms: -7 + 3.5x = 5 + 2.5x Solving -7 + 3.5x = 5 + 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. -7 + 3.5x + -2.5x = 5 + 2.5x + -2.5x Combine like terms: 3.5x + -2.5x = 1x -7 + 1x = 5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -7 + 1x = 5 + 0.0 -7 + 1x = 5 Add '7' to each side of the equation. -7 + 7 + 1x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 5 + 7 1x = 5 + 7 Combine like terms: 5 + 7 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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