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Simplifying 7x + -3(2x + 4) = 5x + -8 Reorder the terms: 7x + -3(4 + 2x) = 5x + -8 7x + (4 * -3 + 2x * -3) = 5x + -8 7x + (-12 + -6x) = 5x + -8 Reorder the terms: -12 + 7x + -6x = 5x + -8 Combine like terms: 7x + -6x = 1x -12 + 1x = 5x + -8 Reorder the terms: -12 + 1x = -8 + 5x Solving -12 + 1x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 1x + -5x = -8 + 5x + -5x Combine like terms: 1x + -5x = -4x -12 + -4x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -4x = -8 + 0 -12 + -4x = -8 Add '12' to each side of the equation. -12 + 12 + -4x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -8 + 12 -4x = -8 + 12 Combine like terms: -8 + 12 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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