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Simplifying 8x + -7 = 2(2x + 7) + -13 Reorder the terms: -7 + 8x = 2(2x + 7) + -13 Reorder the terms: -7 + 8x = 2(7 + 2x) + -13 -7 + 8x = (7 * 2 + 2x * 2) + -13 -7 + 8x = (14 + 4x) + -13 Reorder the terms: -7 + 8x = 14 + -13 + 4x Combine like terms: 14 + -13 = 1 -7 + 8x = 1 + 4x Solving -7 + 8x = 1 + 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. -7 + 8x + -4x = 1 + 4x + -4x Combine like terms: 8x + -4x = 4x -7 + 4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 4x = 1 + 0 -7 + 4x = 1 Add '7' to each side of the equation. -7 + 7 + 4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 1 + 7 4x = 1 + 7 Combine like terms: 1 + 7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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