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Simplifying 2(5x + 3) + -2x + 5 = -45 Reorder the terms: 2(3 + 5x) + -2x + 5 = -45 (3 * 2 + 5x * 2) + -2x + 5 = -45 (6 + 10x) + -2x + 5 = -45 Reorder the terms: 6 + 5 + 10x + -2x = -45 Combine like terms: 6 + 5 = 11 11 + 10x + -2x = -45 Combine like terms: 10x + -2x = 8x 11 + 8x = -45 Solving 11 + 8x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = -45 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = -45 + -11 8x = -45 + -11 Combine like terms: -45 + -11 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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