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