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Simplifying 3(2x + -1) + 2 = 2(x + 3) + -1 Reorder the terms: 3(-1 + 2x) + 2 = 2(x + 3) + -1 (-1 * 3 + 2x * 3) + 2 = 2(x + 3) + -1 (-3 + 6x) + 2 = 2(x + 3) + -1 Reorder the terms: -3 + 2 + 6x = 2(x + 3) + -1 Combine like terms: -3 + 2 = -1 -1 + 6x = 2(x + 3) + -1 Reorder the terms: -1 + 6x = 2(3 + x) + -1 -1 + 6x = (3 * 2 + x * 2) + -1 -1 + 6x = (6 + 2x) + -1 Reorder the terms: -1 + 6x = 6 + -1 + 2x Combine like terms: 6 + -1 = 5 -1 + 6x = 5 + 2x Solving -1 + 6x = 5 + 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. -1 + 6x + -2x = 5 + 2x + -2x Combine like terms: 6x + -2x = 4x -1 + 4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 4x = 5 + 0 -1 + 4x = 5 Add '1' to each side of the equation. -1 + 1 + 4x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 5 + 1 4x = 5 + 1 Combine like terms: 5 + 1 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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