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Simplifying -7(2x + 4) = -10 + 8(1 + -5x) Reorder the terms: -7(4 + 2x) = -10 + 8(1 + -5x) (4 * -7 + 2x * -7) = -10 + 8(1 + -5x) (-28 + -14x) = -10 + 8(1 + -5x) -28 + -14x = -10 + (1 * 8 + -5x * 8) -28 + -14x = -10 + (8 + -40x) Combine like terms: -10 + 8 = -2 -28 + -14x = -2 + -40x Solving -28 + -14x = -2 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -28 + -14x + 40x = -2 + -40x + 40x Combine like terms: -14x + 40x = 26x -28 + 26x = -2 + -40x + 40x Combine like terms: -40x + 40x = 0 -28 + 26x = -2 + 0 -28 + 26x = -2 Add '28' to each side of the equation. -28 + 28 + 26x = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 26x = -2 + 28 26x = -2 + 28 Combine like terms: -2 + 28 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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