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Simplifying 12x + -43 = 0.25(16x + 52) Reorder the terms: -43 + 12x = 0.25(16x + 52) Reorder the terms: -43 + 12x = 0.25(52 + 16x) -43 + 12x = (52 * 0.25 + 16x * 0.25) -43 + 12x = (13 + 4x) Solving -43 + 12x = 13 + 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. -43 + 12x + -4x = 13 + 4x + -4x Combine like terms: 12x + -4x = 8x -43 + 8x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -43 + 8x = 13 + 0 -43 + 8x = 13 Add '43' to each side of the equation. -43 + 43 + 8x = 13 + 43 Combine like terms: -43 + 43 = 0 0 + 8x = 13 + 43 8x = 13 + 43 Combine like terms: 13 + 43 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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