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Simplifying 3x + -1 = 2(2x + 3) + 5 Reorder the terms: -1 + 3x = 2(2x + 3) + 5 Reorder the terms: -1 + 3x = 2(3 + 2x) + 5 -1 + 3x = (3 * 2 + 2x * 2) + 5 -1 + 3x = (6 + 4x) + 5 Reorder the terms: -1 + 3x = 6 + 5 + 4x Combine like terms: 6 + 5 = 11 -1 + 3x = 11 + 4x Solving -1 + 3x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 3x + -4x = 11 + 4x + -4x Combine like terms: 3x + -4x = -1x -1 + -1x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -1x = 11 + 0 -1 + -1x = 11 Add '1' to each side of the equation. -1 + 1 + -1x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 11 + 1 -1x = 11 + 1 Combine like terms: 11 + 1 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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