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Simplifying -5(2x + -1) + -2(1 + 4x) = 7 Reorder the terms: -5(-1 + 2x) + -2(1 + 4x) = 7 (-1 * -5 + 2x * -5) + -2(1 + 4x) = 7 (5 + -10x) + -2(1 + 4x) = 7 5 + -10x + (1 * -2 + 4x * -2) = 7 5 + -10x + (-2 + -8x) = 7 Reorder the terms: 5 + -2 + -10x + -8x = 7 Combine like terms: 5 + -2 = 3 3 + -10x + -8x = 7 Combine like terms: -10x + -8x = -18x 3 + -18x = 7 Solving 3 + -18x = 7 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 + -18x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = 7 + -3 -18x = 7 + -3 Combine like terms: 7 + -3 = 4 -18x = 4 Divide each side by '-18'. x = -0.2222222222 Simplifying x = -0.2222222222
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