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Simplifying 4(x + 13) = -4x + 52 Reorder the terms: 4(13 + x) = -4x + 52 (13 * 4 + x * 4) = -4x + 52 (52 + 4x) = -4x + 52 Reorder the terms: 52 + 4x = 52 + -4x Add '-52' to each side of the equation. 52 + -52 + 4x = 52 + -52 + -4x Combine like terms: 52 + -52 = 0 0 + 4x = 52 + -52 + -4x 4x = 52 + -52 + -4x Combine like terms: 52 + -52 = 0 4x = 0 + -4x 4x = -4x Solving 4x = -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. 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x 8x = -4x + 4x Combine like terms: -4x + 4x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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