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Simplifying 5x + -1(8 + -1x) = 2(3 + 4x) 5x + (8 * -1 + -1x * -1) = 2(3 + 4x) 5x + (-8 + 1x) = 2(3 + 4x) Reorder the terms: -8 + 5x + 1x = 2(3 + 4x) Combine like terms: 5x + 1x = 6x -8 + 6x = 2(3 + 4x) -8 + 6x = (3 * 2 + 4x * 2) -8 + 6x = (6 + 8x) Solving -8 + 6x = 6 + 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. -8 + 6x + -8x = 6 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = 6 + 0 -8 + -2x = 6 Add '8' to each side of the equation. -8 + 8 + -2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 6 + 8 -2x = 6 + 8 Combine like terms: 6 + 8 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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