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Simplifying 2(3x + 2) + -1 = 2x + -6 Reorder the terms: 2(2 + 3x) + -1 = 2x + -6 (2 * 2 + 3x * 2) + -1 = 2x + -6 (4 + 6x) + -1 = 2x + -6 Reorder the terms: 4 + -1 + 6x = 2x + -6 Combine like terms: 4 + -1 = 3 3 + 6x = 2x + -6 Reorder the terms: 3 + 6x = -6 + 2x Solving 3 + 6x = -6 + 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 = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = -6 + 0 3 + 4x = -6 Add '-3' to each side of the equation. 3 + -3 + 4x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -6 + -3 4x = -6 + -3 Combine like terms: -6 + -3 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25
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