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Simplifying 5x + 7(10 + -1x) = 0 5x + (10 * 7 + -1x * 7) = 0 5x + (70 + -7x) = 0 Reorder the terms: 70 + 5x + -7x = 0 Combine like terms: 5x + -7x = -2x 70 + -2x = 0 Solving 70 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -2x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -2x = 0 + -70 -2x = 0 + -70 Combine like terms: 0 + -70 = -70 -2x = -70 Divide each side by '-2'. x = 35 Simplifying x = 35
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