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Simplifying 2(x + -3) + 1 = 5(x + 5) Reorder the terms: 2(-3 + x) + 1 = 5(x + 5) (-3 * 2 + x * 2) + 1 = 5(x + 5) (-6 + 2x) + 1 = 5(x + 5) Reorder the terms: -6 + 1 + 2x = 5(x + 5) Combine like terms: -6 + 1 = -5 -5 + 2x = 5(x + 5) Reorder the terms: -5 + 2x = 5(5 + x) -5 + 2x = (5 * 5 + x * 5) -5 + 2x = (25 + 5x) Solving -5 + 2x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 2x + -5x = 25 + 5x + -5x Combine like terms: 2x + -5x = -3x -5 + -3x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -3x = 25 + 0 -5 + -3x = 25 Add '5' to each side of the equation. -5 + 5 + -3x = 25 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 25 + 5 -3x = 25 + 5 Combine like terms: 25 + 5 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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