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Simplifying 5(x + 5) + 2 = -3(x + -6) + -10 Reorder the terms: 5(5 + x) + 2 = -3(x + -6) + -10 (5 * 5 + x * 5) + 2 = -3(x + -6) + -10 (25 + 5x) + 2 = -3(x + -6) + -10 Reorder the terms: 25 + 2 + 5x = -3(x + -6) + -10 Combine like terms: 25 + 2 = 27 27 + 5x = -3(x + -6) + -10 Reorder the terms: 27 + 5x = -3(-6 + x) + -10 27 + 5x = (-6 * -3 + x * -3) + -10 27 + 5x = (18 + -3x) + -10 Reorder the terms: 27 + 5x = 18 + -10 + -3x Combine like terms: 18 + -10 = 8 27 + 5x = 8 + -3x Solving 27 + 5x = 8 + -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. 27 + 5x + 3x = 8 + -3x + 3x Combine like terms: 5x + 3x = 8x 27 + 8x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 27 + 8x = 8 + 0 27 + 8x = 8 Add '-27' to each side of the equation. 27 + -27 + 8x = 8 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 8 + -27 8x = 8 + -27 Combine like terms: 8 + -27 = -19 8x = -19 Divide each side by '8'. x = -2.375 Simplifying x = -2.375
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