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Simplifying 7x + -1(8x + -4) + -2 = 5 + -1(4x + 2) Reorder the terms: 7x + -1(-4 + 8x) + -2 = 5 + -1(4x + 2) 7x + (-4 * -1 + 8x * -1) + -2 = 5 + -1(4x + 2) 7x + (4 + -8x) + -2 = 5 + -1(4x + 2) Reorder the terms: 4 + -2 + 7x + -8x = 5 + -1(4x + 2) Combine like terms: 4 + -2 = 2 2 + 7x + -8x = 5 + -1(4x + 2) Combine like terms: 7x + -8x = -1x 2 + -1x = 5 + -1(4x + 2) Reorder the terms: 2 + -1x = 5 + -1(2 + 4x) 2 + -1x = 5 + (2 * -1 + 4x * -1) 2 + -1x = 5 + (-2 + -4x) Combine like terms: 5 + -2 = 3 2 + -1x = 3 + -4x Solving 2 + -1x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -1x + 4x = 3 + -4x + 4x Combine like terms: -1x + 4x = 3x 2 + 3x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 3x = 3 + 0 2 + 3x = 3 Add '-2' to each side of the equation. 2 + -2 + 3x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 3 + -2 3x = 3 + -2 Combine like terms: 3 + -2 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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