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Simplifying 2(x + 3) + 10 = -5x + -47 Reorder the terms: 2(3 + x) + 10 = -5x + -47 (3 * 2 + x * 2) + 10 = -5x + -47 (6 + 2x) + 10 = -5x + -47 Reorder the terms: 6 + 10 + 2x = -5x + -47 Combine like terms: 6 + 10 = 16 16 + 2x = -5x + -47 Reorder the terms: 16 + 2x = -47 + -5x Solving 16 + 2x = -47 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 16 + 2x + 5x = -47 + -5x + 5x Combine like terms: 2x + 5x = 7x 16 + 7x = -47 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + 7x = -47 + 0 16 + 7x = -47 Add '-16' to each side of the equation. 16 + -16 + 7x = -47 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = -47 + -16 7x = -47 + -16 Combine like terms: -47 + -16 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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