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Simplifying 5x + -2 = 2(5x + 1) + -1 Reorder the terms: -2 + 5x = 2(5x + 1) + -1 Reorder the terms: -2 + 5x = 2(1 + 5x) + -1 -2 + 5x = (1 * 2 + 5x * 2) + -1 -2 + 5x = (2 + 10x) + -1 Reorder the terms: -2 + 5x = 2 + -1 + 10x Combine like terms: 2 + -1 = 1 -2 + 5x = 1 + 10x Solving -2 + 5x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 5x + -10x = 1 + 10x + -10x Combine like terms: 5x + -10x = -5x -2 + -5x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -5x = 1 + 0 -2 + -5x = 1 Add '2' to each side of the equation. -2 + 2 + -5x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 1 + 2 -5x = 1 + 2 Combine like terms: 1 + 2 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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