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Simplifying 3(2x + -1) + -2 = 2(x + 7) Reorder the terms: 3(-1 + 2x) + -2 = 2(x + 7) (-1 * 3 + 2x * 3) + -2 = 2(x + 7) (-3 + 6x) + -2 = 2(x + 7) Reorder the terms: -3 + -2 + 6x = 2(x + 7) Combine like terms: -3 + -2 = -5 -5 + 6x = 2(x + 7) Reorder the terms: -5 + 6x = 2(7 + x) -5 + 6x = (7 * 2 + x * 2) -5 + 6x = (14 + 2x) Solving -5 + 6x = 14 + 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. -5 + 6x + -2x = 14 + 2x + -2x Combine like terms: 6x + -2x = 4x -5 + 4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 4x = 14 + 0 -5 + 4x = 14 Add '5' to each side of the equation. -5 + 5 + 4x = 14 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 14 + 5 4x = 14 + 5 Combine like terms: 14 + 5 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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