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Simplifying 2(x + 14) = -3x + -7 Reorder the terms: 2(14 + x) = -3x + -7 (14 * 2 + x * 2) = -3x + -7 (28 + 2x) = -3x + -7 Reorder the terms: 28 + 2x = -7 + -3x Solving 28 + 2x = -7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 28 + 2x + 3x = -7 + -3x + 3x Combine like terms: 2x + 3x = 5x 28 + 5x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + 5x = -7 + 0 28 + 5x = -7 Add '-28' to each side of the equation. 28 + -28 + 5x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = -7 + -28 5x = -7 + -28 Combine like terms: -7 + -28 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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