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Simplifying 5(3x + -2) = 8(x + 6) + 8 Reorder the terms: 5(-2 + 3x) = 8(x + 6) + 8 (-2 * 5 + 3x * 5) = 8(x + 6) + 8 (-10 + 15x) = 8(x + 6) + 8 Reorder the terms: -10 + 15x = 8(6 + x) + 8 -10 + 15x = (6 * 8 + x * 8) + 8 -10 + 15x = (48 + 8x) + 8 Reorder the terms: -10 + 15x = 48 + 8 + 8x Combine like terms: 48 + 8 = 56 -10 + 15x = 56 + 8x Solving -10 + 15x = 56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 15x + -8x = 56 + 8x + -8x Combine like terms: 15x + -8x = 7x -10 + 7x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 7x = 56 + 0 -10 + 7x = 56 Add '10' to each side of the equation. -10 + 10 + 7x = 56 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 56 + 10 7x = 56 + 10 Combine like terms: 56 + 10 = 66 7x = 66 Divide each side by '7'. x = 9.428571429 Simplifying x = 9.428571429
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