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Simplifying 8x + 3(x + -5) = 4(x + 2) + -5 Reorder the terms: 8x + 3(-5 + x) = 4(x + 2) + -5 8x + (-5 * 3 + x * 3) = 4(x + 2) + -5 8x + (-15 + 3x) = 4(x + 2) + -5 Reorder the terms: -15 + 8x + 3x = 4(x + 2) + -5 Combine like terms: 8x + 3x = 11x -15 + 11x = 4(x + 2) + -5 Reorder the terms: -15 + 11x = 4(2 + x) + -5 -15 + 11x = (2 * 4 + x * 4) + -5 -15 + 11x = (8 + 4x) + -5 Reorder the terms: -15 + 11x = 8 + -5 + 4x Combine like terms: 8 + -5 = 3 -15 + 11x = 3 + 4x Solving -15 + 11x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 11x + -4x = 3 + 4x + -4x Combine like terms: 11x + -4x = 7x -15 + 7x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 7x = 3 + 0 -15 + 7x = 3 Add '15' to each side of the equation. -15 + 15 + 7x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 3 + 15 7x = 3 + 15 Combine like terms: 3 + 15 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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