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Simplifying 2x + 7(8x + -6) = 20 + -4x Reorder the terms: 2x + 7(-6 + 8x) = 20 + -4x 2x + (-6 * 7 + 8x * 7) = 20 + -4x 2x + (-42 + 56x) = 20 + -4x Reorder the terms: -42 + 2x + 56x = 20 + -4x Combine like terms: 2x + 56x = 58x -42 + 58x = 20 + -4x Solving -42 + 58x = 20 + -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. -42 + 58x + 4x = 20 + -4x + 4x Combine like terms: 58x + 4x = 62x -42 + 62x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + 62x = 20 + 0 -42 + 62x = 20 Add '42' to each side of the equation. -42 + 42 + 62x = 20 + 42 Combine like terms: -42 + 42 = 0 0 + 62x = 20 + 42 62x = 20 + 42 Combine like terms: 20 + 42 = 62 62x = 62 Divide each side by '62'. x = 1 Simplifying x = 1
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