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Simplifying 2(3x + 1) + -5 = 2x + 13 Reorder the terms: 2(1 + 3x) + -5 = 2x + 13 (1 * 2 + 3x * 2) + -5 = 2x + 13 (2 + 6x) + -5 = 2x + 13 Reorder the terms: 2 + -5 + 6x = 2x + 13 Combine like terms: 2 + -5 = -3 -3 + 6x = 2x + 13 Reorder the terms: -3 + 6x = 13 + 2x Solving -3 + 6x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 6x + -2x = 13 + 2x + -2x Combine like terms: 6x + -2x = 4x -3 + 4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 4x = 13 + 0 -3 + 4x = 13 Add '3' to each side of the equation. -3 + 3 + 4x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 13 + 3 4x = 13 + 3 Combine like terms: 13 + 3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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