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Simplifying 7(1 + -2x) + -1(4 + -10x) = 0 (1 * 7 + -2x * 7) + -1(4 + -10x) = 0 (7 + -14x) + -1(4 + -10x) = 0 7 + -14x + (4 * -1 + -10x * -1) = 0 7 + -14x + (-4 + 10x) = 0 Reorder the terms: 7 + -4 + -14x + 10x = 0 Combine like terms: 7 + -4 = 3 3 + -14x + 10x = 0 Combine like terms: -14x + 10x = -4x 3 + -4x = 0 Solving 3 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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