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Simplifying 4x + 3(2x + -4) = 5 + -7x Reorder the terms: 4x + 3(-4 + 2x) = 5 + -7x 4x + (-4 * 3 + 2x * 3) = 5 + -7x 4x + (-12 + 6x) = 5 + -7x Reorder the terms: -12 + 4x + 6x = 5 + -7x Combine like terms: 4x + 6x = 10x -12 + 10x = 5 + -7x Solving -12 + 10x = 5 + -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. -12 + 10x + 7x = 5 + -7x + 7x Combine like terms: 10x + 7x = 17x -12 + 17x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 17x = 5 + 0 -12 + 17x = 5 Add '12' to each side of the equation. -12 + 12 + 17x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 17x = 5 + 12 17x = 5 + 12 Combine like terms: 5 + 12 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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