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Simplifying 3(x + -2) = 5(x + 1) + 1 Reorder the terms: 3(-2 + x) = 5(x + 1) + 1 (-2 * 3 + x * 3) = 5(x + 1) + 1 (-6 + 3x) = 5(x + 1) + 1 Reorder the terms: -6 + 3x = 5(1 + x) + 1 -6 + 3x = (1 * 5 + x * 5) + 1 -6 + 3x = (5 + 5x) + 1 Reorder the terms: -6 + 3x = 5 + 1 + 5x Combine like terms: 5 + 1 = 6 -6 + 3x = 6 + 5x Solving -6 + 3x = 6 + 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. -6 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x -6 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -2x = 6 + 0 -6 + -2x = 6 Add '6' to each side of the equation. -6 + 6 + -2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 6 + 6 -2x = 6 + 6 Combine like terms: 6 + 6 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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