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Simplifying 8x + -7 = 2(2x + 7) + -21 Reorder the terms: -7 + 8x = 2(2x + 7) + -21 Reorder the terms: -7 + 8x = 2(7 + 2x) + -21 -7 + 8x = (7 * 2 + 2x * 2) + -21 -7 + 8x = (14 + 4x) + -21 Reorder the terms: -7 + 8x = 14 + -21 + 4x Combine like terms: 14 + -21 = -7 -7 + 8x = -7 + 4x Add '7' to each side of the equation. -7 + 7 + 8x = -7 + 7 + 4x Combine like terms: -7 + 7 = 0 0 + 8x = -7 + 7 + 4x 8x = -7 + 7 + 4x Combine like terms: -7 + 7 = 0 8x = 0 + 4x 8x = 4x Solving 8x = 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. 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x 4x = 4x + -4x Combine like terms: 4x + -4x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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