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Simplifying 5(2 + -5x) + -2(3 + -7x) = 10 + -1x + 6 (2 * 5 + -5x * 5) + -2(3 + -7x) = 10 + -1x + 6 (10 + -25x) + -2(3 + -7x) = 10 + -1x + 6 10 + -25x + (3 * -2 + -7x * -2) = 10 + -1x + 6 10 + -25x + (-6 + 14x) = 10 + -1x + 6 Reorder the terms: 10 + -6 + -25x + 14x = 10 + -1x + 6 Combine like terms: 10 + -6 = 4 4 + -25x + 14x = 10 + -1x + 6 Combine like terms: -25x + 14x = -11x 4 + -11x = 10 + -1x + 6 Reorder the terms: 4 + -11x = 10 + 6 + -1x Combine like terms: 10 + 6 = 16 4 + -11x = 16 + -1x Solving 4 + -11x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -11x + x = 16 + -1x + x Combine like terms: -11x + x = -10x 4 + -10x = 16 + -1x + x Combine like terms: -1x + x = 0 4 + -10x = 16 + 0 4 + -10x = 16 Add '-4' to each side of the equation. 4 + -4 + -10x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = 16 + -4 -10x = 16 + -4 Combine like terms: 16 + -4 = 12 -10x = 12 Divide each side by '-10'. x = -1.2 Simplifying x = -1.2
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