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Simplifying -8x + 5(2x + -1) = 4x + 7 Reorder the terms: -8x + 5(-1 + 2x) = 4x + 7 -8x + (-1 * 5 + 2x * 5) = 4x + 7 -8x + (-5 + 10x) = 4x + 7 Reorder the terms: -5 + -8x + 10x = 4x + 7 Combine like terms: -8x + 10x = 2x -5 + 2x = 4x + 7 Reorder the terms: -5 + 2x = 7 + 4x Solving -5 + 2x = 7 + 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. -5 + 2x + -4x = 7 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = 7 + 0 -5 + -2x = 7 Add '5' to each side of the equation. -5 + 5 + -2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 7 + 5 -2x = 7 + 5 Combine like terms: 7 + 5 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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