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Simplifying 2(x + 3) + -1 = 3(2x + -7) Reorder the terms: 2(3 + x) + -1 = 3(2x + -7) (3 * 2 + x * 2) + -1 = 3(2x + -7) (6 + 2x) + -1 = 3(2x + -7) Reorder the terms: 6 + -1 + 2x = 3(2x + -7) Combine like terms: 6 + -1 = 5 5 + 2x = 3(2x + -7) Reorder the terms: 5 + 2x = 3(-7 + 2x) 5 + 2x = (-7 * 3 + 2x * 3) 5 + 2x = (-21 + 6x) Solving 5 + 2x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 2x + -6x = -21 + 6x + -6x Combine like terms: 2x + -6x = -4x 5 + -4x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -4x = -21 + 0 5 + -4x = -21 Add '-5' to each side of the equation. 5 + -5 + -4x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -21 + -5 -4x = -21 + -5 Combine like terms: -21 + -5 = -26 -4x = -26 Divide each side by '-4'. x = 6.5 Simplifying x = 6.5
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