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Simplifying 10x + 25 + -6 = 7(5x + 5) Reorder the terms: 25 + -6 + 10x = 7(5x + 5) Combine like terms: 25 + -6 = 19 19 + 10x = 7(5x + 5) Reorder the terms: 19 + 10x = 7(5 + 5x) 19 + 10x = (5 * 7 + 5x * 7) 19 + 10x = (35 + 35x) Solving 19 + 10x = 35 + 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. 19 + 10x + -35x = 35 + 35x + -35x Combine like terms: 10x + -35x = -25x 19 + -25x = 35 + 35x + -35x Combine like terms: 35x + -35x = 0 19 + -25x = 35 + 0 19 + -25x = 35 Add '-19' to each side of the equation. 19 + -19 + -25x = 35 + -19 Combine like terms: 19 + -19 = 0 0 + -25x = 35 + -19 -25x = 35 + -19 Combine like terms: 35 + -19 = 16 -25x = 16 Divide each side by '-25'. x = -0.64 Simplifying x = -0.64
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