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Simplifying 7(5x + -7) + 2 = -35x + 51 Reorder the terms: 7(-7 + 5x) + 2 = -35x + 51 (-7 * 7 + 5x * 7) + 2 = -35x + 51 (-49 + 35x) + 2 = -35x + 51 Reorder the terms: -49 + 2 + 35x = -35x + 51 Combine like terms: -49 + 2 = -47 -47 + 35x = -35x + 51 Reorder the terms: -47 + 35x = 51 + -35x Solving -47 + 35x = 51 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -47 + 35x + 35x = 51 + -35x + 35x Combine like terms: 35x + 35x = 70x -47 + 70x = 51 + -35x + 35x Combine like terms: -35x + 35x = 0 -47 + 70x = 51 + 0 -47 + 70x = 51 Add '47' to each side of the equation. -47 + 47 + 70x = 51 + 47 Combine like terms: -47 + 47 = 0 0 + 70x = 51 + 47 70x = 51 + 47 Combine like terms: 51 + 47 = 98 70x = 98 Divide each side by '70'. x = 1.4 Simplifying x = 1.4
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