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Simplifying 3(2x + -1) = 2(x + 7) + 1 Reorder the terms: 3(-1 + 2x) = 2(x + 7) + 1 (-1 * 3 + 2x * 3) = 2(x + 7) + 1 (-3 + 6x) = 2(x + 7) + 1 Reorder the terms: -3 + 6x = 2(7 + x) + 1 -3 + 6x = (7 * 2 + x * 2) + 1 -3 + 6x = (14 + 2x) + 1 Reorder the terms: -3 + 6x = 14 + 1 + 2x Combine like terms: 14 + 1 = 15 -3 + 6x = 15 + 2x Solving -3 + 6x = 15 + 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 = 15 + 2x + -2x Combine like terms: 6x + -2x = 4x -3 + 4x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 4x = 15 + 0 -3 + 4x = 15 Add '3' to each side of the equation. -3 + 3 + 4x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 15 + 3 4x = 15 + 3 Combine like terms: 15 + 3 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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