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Simplifying 7(x + -1) + 5 = -2(3 + -4x) + 5 Reorder the terms: 7(-1 + x) + 5 = -2(3 + -4x) + 5 (-1 * 7 + x * 7) + 5 = -2(3 + -4x) + 5 (-7 + 7x) + 5 = -2(3 + -4x) + 5 Reorder the terms: -7 + 5 + 7x = -2(3 + -4x) + 5 Combine like terms: -7 + 5 = -2 -2 + 7x = -2(3 + -4x) + 5 -2 + 7x = (3 * -2 + -4x * -2) + 5 -2 + 7x = (-6 + 8x) + 5 Reorder the terms: -2 + 7x = -6 + 5 + 8x Combine like terms: -6 + 5 = -1 -2 + 7x = -1 + 8x Solving -2 + 7x = -1 + 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. -2 + 7x + -8x = -1 + 8x + -8x Combine like terms: 7x + -8x = -1x -2 + -1x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -1x = -1 + 0 -2 + -1x = -1 Add '2' to each side of the equation. -2 + 2 + -1x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -1 + 2 -1x = -1 + 2 Combine like terms: -1 + 2 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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