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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 + 16 + 4x = 7x + -5(x + -8) Combine like terms: -32 + 16 = -16 -16 + 4x = 7x + -5(x + -8) Reorder the terms: -16 + 4x = 7x + -5(-8 + x) -16 + 4x = 7x + (-8 * -5 + x * -5) -16 + 4x = 7x + (40 + -5x) Reorder the terms: -16 + 4x = 40 + 7x + -5x Combine like terms: 7x + -5x = 2x -16 + 4x = 40 + 2x Solving -16 + 4x = 40 + 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. -16 + 4x + -2x = 40 + 2x + -2x Combine like terms: 4x + -2x = 2x -16 + 2x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 2x = 40 + 0 -16 + 2x = 40 Add '16' to each side of the equation. -16 + 16 + 2x = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 40 + 16 2x = 40 + 16 Combine like terms: 40 + 16 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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