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Simplifying -5(x + 2) + 6(8 + 2x) = 87 Reorder the terms: -5(2 + x) + 6(8 + 2x) = 87 (2 * -5 + x * -5) + 6(8 + 2x) = 87 (-10 + -5x) + 6(8 + 2x) = 87 -10 + -5x + (8 * 6 + 2x * 6) = 87 -10 + -5x + (48 + 12x) = 87 Reorder the terms: -10 + 48 + -5x + 12x = 87 Combine like terms: -10 + 48 = 38 38 + -5x + 12x = 87 Combine like terms: -5x + 12x = 7x 38 + 7x = 87 Solving 38 + 7x = 87 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 7x = 87 + -38 Combine like terms: 38 + -38 = 0 0 + 7x = 87 + -38 7x = 87 + -38 Combine like terms: 87 + -38 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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