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Simplifying 5x + 4(x + -4) = 7(x + 8) Reorder the terms: 5x + 4(-4 + x) = 7(x + 8) 5x + (-4 * 4 + x * 4) = 7(x + 8) 5x + (-16 + 4x) = 7(x + 8) Reorder the terms: -16 + 5x + 4x = 7(x + 8) Combine like terms: 5x + 4x = 9x -16 + 9x = 7(x + 8) Reorder the terms: -16 + 9x = 7(8 + x) -16 + 9x = (8 * 7 + x * 7) -16 + 9x = (56 + 7x) Solving -16 + 9x = 56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 9x + -7x = 56 + 7x + -7x Combine like terms: 9x + -7x = 2x -16 + 2x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 2x = 56 + 0 -16 + 2x = 56 Add '16' to each side of the equation. -16 + 16 + 2x = 56 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 56 + 16 2x = 56 + 16 Combine like terms: 56 + 16 = 72 2x = 72 Divide each side by '2'. x = 36 Simplifying x = 36
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