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Simplifying 3(2x + 3) + -2(-4x + 1) = -7 Reorder the terms: 3(3 + 2x) + -2(-4x + 1) = -7 (3 * 3 + 2x * 3) + -2(-4x + 1) = -7 (9 + 6x) + -2(-4x + 1) = -7 Reorder the terms: 9 + 6x + -2(1 + -4x) = -7 9 + 6x + (1 * -2 + -4x * -2) = -7 9 + 6x + (-2 + 8x) = -7 Reorder the terms: 9 + -2 + 6x + 8x = -7 Combine like terms: 9 + -2 = 7 7 + 6x + 8x = -7 Combine like terms: 6x + 8x = 14x 7 + 14x = -7 Solving 7 + 14x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = -7 + -7 14x = -7 + -7 Combine like terms: -7 + -7 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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