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Simplifying 7x + 4(2x + -4) = 5 + -6x Reorder the terms: 7x + 4(-4 + 2x) = 5 + -6x 7x + (-4 * 4 + 2x * 4) = 5 + -6x 7x + (-16 + 8x) = 5 + -6x Reorder the terms: -16 + 7x + 8x = 5 + -6x Combine like terms: 7x + 8x = 15x -16 + 15x = 5 + -6x Solving -16 + 15x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -16 + 15x + 6x = 5 + -6x + 6x Combine like terms: 15x + 6x = 21x -16 + 21x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 21x = 5 + 0 -16 + 21x = 5 Add '16' to each side of the equation. -16 + 16 + 21x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 21x = 5 + 16 21x = 5 + 16 Combine like terms: 5 + 16 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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