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Simplifying 2(3x + -1) + 3 = 4x + -5 Reorder the terms: 2(-1 + 3x) + 3 = 4x + -5 (-1 * 2 + 3x * 2) + 3 = 4x + -5 (-2 + 6x) + 3 = 4x + -5 Reorder the terms: -2 + 3 + 6x = 4x + -5 Combine like terms: -2 + 3 = 1 1 + 6x = 4x + -5 Reorder the terms: 1 + 6x = -5 + 4x Solving 1 + 6x = -5 + 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 + 6x + -4x = -5 + 4x + -4x Combine like terms: 6x + -4x = 2x 1 + 2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 2x = -5 + 0 1 + 2x = -5 Add '-1' to each side of the equation. 1 + -1 + 2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -5 + -1 2x = -5 + -1 Combine like terms: -5 + -1 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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