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Simplifying (1x + 2) + -2(4 + -3x) = 4(1x + 5) + -2 Reorder the terms: (2 + 1x) + -2(4 + -3x) = 4(1x + 5) + -2 Remove parenthesis around (2 + 1x) 2 + 1x + -2(4 + -3x) = 4(1x + 5) + -2 2 + 1x + (4 * -2 + -3x * -2) = 4(1x + 5) + -2 2 + 1x + (-8 + 6x) = 4(1x + 5) + -2 Reorder the terms: 2 + -8 + 1x + 6x = 4(1x + 5) + -2 Combine like terms: 2 + -8 = -6 -6 + 1x + 6x = 4(1x + 5) + -2 Combine like terms: 1x + 6x = 7x -6 + 7x = 4(1x + 5) + -2 Reorder the terms: -6 + 7x = 4(5 + 1x) + -2 -6 + 7x = (5 * 4 + 1x * 4) + -2 -6 + 7x = (20 + 4x) + -2 Reorder the terms: -6 + 7x = 20 + -2 + 4x Combine like terms: 20 + -2 = 18 -6 + 7x = 18 + 4x Solving -6 + 7x = 18 + 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. -6 + 7x + -4x = 18 + 4x + -4x Combine like terms: 7x + -4x = 3x -6 + 3x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 3x = 18 + 0 -6 + 3x = 18 Add '6' to each side of the equation. -6 + 6 + 3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 18 + 6 3x = 18 + 6 Combine like terms: 18 + 6 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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