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Simplifying 5(x + 3) + -25 = 6(2 + -1x) Reorder the terms: 5(3 + x) + -25 = 6(2 + -1x) (3 * 5 + x * 5) + -25 = 6(2 + -1x) (15 + 5x) + -25 = 6(2 + -1x) Reorder the terms: 15 + -25 + 5x = 6(2 + -1x) Combine like terms: 15 + -25 = -10 -10 + 5x = 6(2 + -1x) -10 + 5x = (2 * 6 + -1x * 6) -10 + 5x = (12 + -6x) Solving -10 + 5x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 5x + 6x = 12 + -6x + 6x Combine like terms: 5x + 6x = 11x -10 + 11x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 11x = 12 + 0 -10 + 11x = 12 Add '10' to each side of the equation. -10 + 10 + 11x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 12 + 10 11x = 12 + 10 Combine like terms: 12 + 10 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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