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Simplifying 10 + -3x + 2(5x + -2) = 7(x + 5) + -3x + -5 Reorder the terms: 10 + -3x + 2(-2 + 5x) = 7(x + 5) + -3x + -5 10 + -3x + (-2 * 2 + 5x * 2) = 7(x + 5) + -3x + -5 10 + -3x + (-4 + 10x) = 7(x + 5) + -3x + -5 Reorder the terms: 10 + -4 + -3x + 10x = 7(x + 5) + -3x + -5 Combine like terms: 10 + -4 = 6 6 + -3x + 10x = 7(x + 5) + -3x + -5 Combine like terms: -3x + 10x = 7x 6 + 7x = 7(x + 5) + -3x + -5 Reorder the terms: 6 + 7x = 7(5 + x) + -3x + -5 6 + 7x = (5 * 7 + x * 7) + -3x + -5 6 + 7x = (35 + 7x) + -3x + -5 Reorder the terms: 6 + 7x = 35 + -5 + 7x + -3x Combine like terms: 35 + -5 = 30 6 + 7x = 30 + 7x + -3x Combine like terms: 7x + -3x = 4x 6 + 7x = 30 + 4x Solving 6 + 7x = 30 + 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. 6 + 7x + -4x = 30 + 4x + -4x Combine like terms: 7x + -4x = 3x 6 + 3x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 3x = 30 + 0 6 + 3x = 30 Add '-6' to each side of the equation. 6 + -6 + 3x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 30 + -6 3x = 30 + -6 Combine like terms: 30 + -6 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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