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Simplifying 4(x + -8) = 16 + 7x + -5(x + -8) Reorder the terms: 4(-8 + x) = 16 + 7x + -5(x + -8) (-8 * 4 + x * 4) = 16 + 7x + -5(x + -8) (-32 + 4x) = 16 + 7x + -5(x + -8) Reorder the terms: -32 + 4x = 16 + 7x + -5(-8 + x) -32 + 4x = 16 + 7x + (-8 * -5 + x * -5) -32 + 4x = 16 + 7x + (40 + -5x) Reorder the terms: -32 + 4x = 16 + 40 + 7x + -5x Combine like terms: 16 + 40 = 56 -32 + 4x = 56 + 7x + -5x Combine like terms: 7x + -5x = 2x -32 + 4x = 56 + 2x Solving -32 + 4x = 56 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 4x + -2x = 56 + 2x + -2x Combine like terms: 4x + -2x = 2x -32 + 2x = 56 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 2x = 56 + 0 -32 + 2x = 56 Add '32' to each side of the equation. -32 + 32 + 2x = 56 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 56 + 32 2x = 56 + 32 Combine like terms: 56 + 32 = 88 2x = 88 Divide each side by '2'. x = 44 Simplifying x = 44
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