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Simplifying 2x + -3 = 5(x + -2) + 1 Reorder the terms: -3 + 2x = 5(x + -2) + 1 Reorder the terms: -3 + 2x = 5(-2 + x) + 1 -3 + 2x = (-2 * 5 + x * 5) + 1 -3 + 2x = (-10 + 5x) + 1 Reorder the terms: -3 + 2x = -10 + 1 + 5x Combine like terms: -10 + 1 = -9 -3 + 2x = -9 + 5x Solving -3 + 2x = -9 + 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. -3 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x -3 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -3x = -9 + 0 -3 + -3x = -9 Add '3' to each side of the equation. -3 + 3 + -3x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -9 + 3 -3x = -9 + 3 Combine like terms: -9 + 3 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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