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Simplifying 5[x + -5] = 4[x + 3] Reorder the terms: 5[-5 + x] = 4[x + 3] [-5 * 5 + x * 5] = 4[x + 3] [-25 + 5x] = 4[x + 3] Reorder the terms: -25 + 5x = 4[3 + x] -25 + 5x = [3 * 4 + x * 4] -25 + 5x = [12 + 4x] Solving -25 + 5x = 12 + 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. -25 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -25 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 1x = 12 + 0 -25 + 1x = 12 Add '25' to each side of the equation. -25 + 25 + 1x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 12 + 25 1x = 12 + 25 Combine like terms: 12 + 25 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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