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Simplifying -4x + 7(8x + -6) = 8 + 2x Reorder the terms: -4x + 7(-6 + 8x) = 8 + 2x -4x + (-6 * 7 + 8x * 7) = 8 + 2x -4x + (-42 + 56x) = 8 + 2x Reorder the terms: -42 + -4x + 56x = 8 + 2x Combine like terms: -4x + 56x = 52x -42 + 52x = 8 + 2x Solving -42 + 52x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 52x + -2x = 8 + 2x + -2x Combine like terms: 52x + -2x = 50x -42 + 50x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 50x = 8 + 0 -42 + 50x = 8 Add '42' to each side of the equation. -42 + 42 + 50x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 50x = 8 + 42 50x = 8 + 42 Combine like terms: 8 + 42 = 50 50x = 50 Divide each side by '50'. x = 1 Simplifying x = 1
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