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Simplifying 5x + -7 = 25 + 3x + -6(x + 2 + 3) Reorder the terms: -7 + 5x = 25 + 3x + -6(x + 2 + 3) Reorder the terms: -7 + 5x = 25 + 3x + -6(2 + 3 + x) Combine like terms: 2 + 3 = 5 -7 + 5x = 25 + 3x + -6(5 + x) -7 + 5x = 25 + 3x + (5 * -6 + x * -6) -7 + 5x = 25 + 3x + (-30 + -6x) Reorder the terms: -7 + 5x = 25 + -30 + 3x + -6x Combine like terms: 25 + -30 = -5 -7 + 5x = -5 + 3x + -6x Combine like terms: 3x + -6x = -3x -7 + 5x = -5 + -3x Solving -7 + 5x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 5x + 3x = -5 + -3x + 3x Combine like terms: 5x + 3x = 8x -7 + 8x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 8x = -5 + 0 -7 + 8x = -5 Add '7' to each side of the equation. -7 + 7 + 8x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -5 + 7 8x = -5 + 7 Combine like terms: -5 + 7 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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