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Simplifying 2x + -10 = 5(x + 2) + 1 Reorder the terms: -10 + 2x = 5(x + 2) + 1 Reorder the terms: -10 + 2x = 5(2 + x) + 1 -10 + 2x = (2 * 5 + x * 5) + 1 -10 + 2x = (10 + 5x) + 1 Reorder the terms: -10 + 2x = 10 + 1 + 5x Combine like terms: 10 + 1 = 11 -10 + 2x = 11 + 5x Solving -10 + 2x = 11 + 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. -10 + 2x + -5x = 11 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = 11 + 0 -10 + -3x = 11 Add '10' to each side of the equation. -10 + 10 + -3x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 11 + 10 -3x = 11 + 10 Combine like terms: 11 + 10 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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