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Simplifying -2 = 7(x + 2) + 3(2x + -1) Reorder the terms: -2 = 7(2 + x) + 3(2x + -1) -2 = (2 * 7 + x * 7) + 3(2x + -1) -2 = (14 + 7x) + 3(2x + -1) Reorder the terms: -2 = 14 + 7x + 3(-1 + 2x) -2 = 14 + 7x + (-1 * 3 + 2x * 3) -2 = 14 + 7x + (-3 + 6x) Reorder the terms: -2 = 14 + -3 + 7x + 6x Combine like terms: 14 + -3 = 11 -2 = 11 + 7x + 6x Combine like terms: 7x + 6x = 13x -2 = 11 + 13x Solving -2 = 11 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -2 + -13x = 11 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -13x = 11 + 0 -2 + -13x = 11 Add '2' to each side of the equation. -2 + 2 + -13x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = 11 + 2 -13x = 11 + 2 Combine like terms: 11 + 2 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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