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Simplifying 5x + 2(x + -8) = 4(x + 2) + -2 Reorder the terms: 5x + 2(-8 + x) = 4(x + 2) + -2 5x + (-8 * 2 + x * 2) = 4(x + 2) + -2 5x + (-16 + 2x) = 4(x + 2) + -2 Reorder the terms: -16 + 5x + 2x = 4(x + 2) + -2 Combine like terms: 5x + 2x = 7x -16 + 7x = 4(x + 2) + -2 Reorder the terms: -16 + 7x = 4(2 + x) + -2 -16 + 7x = (2 * 4 + x * 4) + -2 -16 + 7x = (8 + 4x) + -2 Reorder the terms: -16 + 7x = 8 + -2 + 4x Combine like terms: 8 + -2 = 6 -16 + 7x = 6 + 4x Solving -16 + 7x = 6 + 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. -16 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x -16 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 3x = 6 + 0 -16 + 3x = 6 Add '16' to each side of the equation. -16 + 16 + 3x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 6 + 16 3x = 6 + 16 Combine like terms: 6 + 16 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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