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Simplifying 7(x + -1) = 2(2x + 8) + -1(x + -5) Reorder the terms: 7(-1 + x) = 2(2x + 8) + -1(x + -5) (-1 * 7 + x * 7) = 2(2x + 8) + -1(x + -5) (-7 + 7x) = 2(2x + 8) + -1(x + -5) Reorder the terms: -7 + 7x = 2(8 + 2x) + -1(x + -5) -7 + 7x = (8 * 2 + 2x * 2) + -1(x + -5) -7 + 7x = (16 + 4x) + -1(x + -5) Reorder the terms: -7 + 7x = 16 + 4x + -1(-5 + x) -7 + 7x = 16 + 4x + (-5 * -1 + x * -1) -7 + 7x = 16 + 4x + (5 + -1x) Reorder the terms: -7 + 7x = 16 + 5 + 4x + -1x Combine like terms: 16 + 5 = 21 -7 + 7x = 21 + 4x + -1x Combine like terms: 4x + -1x = 3x -7 + 7x = 21 + 3x Solving -7 + 7x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 7x + -3x = 21 + 3x + -3x Combine like terms: 7x + -3x = 4x -7 + 4x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 4x = 21 + 0 -7 + 4x = 21 Add '7' to each side of the equation. -7 + 7 + 4x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 21 + 7 4x = 21 + 7 Combine like terms: 21 + 7 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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