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Simplifying 7x + 2(x + -8) = 5(x + 1) + -4 Reorder the terms: 7x + 2(-8 + x) = 5(x + 1) + -4 7x + (-8 * 2 + x * 2) = 5(x + 1) + -4 7x + (-16 + 2x) = 5(x + 1) + -4 Reorder the terms: -16 + 7x + 2x = 5(x + 1) + -4 Combine like terms: 7x + 2x = 9x -16 + 9x = 5(x + 1) + -4 Reorder the terms: -16 + 9x = 5(1 + x) + -4 -16 + 9x = (1 * 5 + x * 5) + -4 -16 + 9x = (5 + 5x) + -4 Reorder the terms: -16 + 9x = 5 + -4 + 5x Combine like terms: 5 + -4 = 1 -16 + 9x = 1 + 5x Solving -16 + 9x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 9x + -5x = 1 + 5x + -5x Combine like terms: 9x + -5x = 4x -16 + 4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 4x = 1 + 0 -16 + 4x = 1 Add '16' to each side of the equation. -16 + 16 + 4x = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 1 + 16 4x = 1 + 16 Combine like terms: 1 + 16 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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