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Simplifying 7(2x + 3) + -2(3x + -2) = 57 Reorder the terms: 7(3 + 2x) + -2(3x + -2) = 57 (3 * 7 + 2x * 7) + -2(3x + -2) = 57 (21 + 14x) + -2(3x + -2) = 57 Reorder the terms: 21 + 14x + -2(-2 + 3x) = 57 21 + 14x + (-2 * -2 + 3x * -2) = 57 21 + 14x + (4 + -6x) = 57 Reorder the terms: 21 + 4 + 14x + -6x = 57 Combine like terms: 21 + 4 = 25 25 + 14x + -6x = 57 Combine like terms: 14x + -6x = 8x 25 + 8x = 57 Solving 25 + 8x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8x = 57 + -25 Combine like terms: 25 + -25 = 0 0 + 8x = 57 + -25 8x = 57 + -25 Combine like terms: 57 + -25 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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