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Simplifying 10 + -3(x + -8) + 10x = 4x + 5(3 + X) Reorder the terms: 10 + -3(-8 + x) + 10x = 4x + 5(3 + X) 10 + (-8 * -3 + x * -3) + 10x = 4x + 5(3 + X) 10 + (24 + -3x) + 10x = 4x + 5(3 + X) Combine like terms: 10 + 24 = 34 34 + -3x + 10x = 4x + 5(3 + X) Combine like terms: -3x + 10x = 7x 34 + 7x = 4x + 5(3 + X) 34 + 7x = 4x + (3 * 5 + X * 5) 34 + 7x = 4x + (15 + 5X) Reorder the terms: 34 + 7x = 15 + 5X + 4x Solving 34 + 7x = 15 + 5X + 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. 34 + 7x + -4x = 15 + 5X + 4x + -4x Combine like terms: 7x + -4x = 3x 34 + 3x = 15 + 5X + 4x + -4x Combine like terms: 4x + -4x = 0 34 + 3x = 15 + 5X + 0 34 + 3x = 15 + 5X Add '-34' to each side of the equation. 34 + -34 + 3x = 15 + -34 + 5X Combine like terms: 34 + -34 = 0 0 + 3x = 15 + -34 + 5X 3x = 15 + -34 + 5X Combine like terms: 15 + -34 = -19 3x = -19 + 5X Divide each side by '3'. x = -6.333333333 + 1.666666667X Simplifying x = -6.333333333 + 1.666666667X
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