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Simplifying -2(x + 5) = 5(1 + -1x) + 3(7 + -1x) Reorder the terms: -2(5 + x) = 5(1 + -1x) + 3(7 + -1x) (5 * -2 + x * -2) = 5(1 + -1x) + 3(7 + -1x) (-10 + -2x) = 5(1 + -1x) + 3(7 + -1x) -10 + -2x = (1 * 5 + -1x * 5) + 3(7 + -1x) -10 + -2x = (5 + -5x) + 3(7 + -1x) -10 + -2x = 5 + -5x + (7 * 3 + -1x * 3) -10 + -2x = 5 + -5x + (21 + -3x) Reorder the terms: -10 + -2x = 5 + 21 + -5x + -3x Combine like terms: 5 + 21 = 26 -10 + -2x = 26 + -5x + -3x Combine like terms: -5x + -3x = -8x -10 + -2x = 26 + -8x Solving -10 + -2x = 26 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + -2x + 8x = 26 + -8x + 8x Combine like terms: -2x + 8x = 6x -10 + 6x = 26 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 6x = 26 + 0 -10 + 6x = 26 Add '10' to each side of the equation. -10 + 10 + 6x = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 26 + 10 6x = 26 + 10 Combine like terms: 26 + 10 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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