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Simplifying 5x + -3(2x + 4) = 4x + 8 Reorder the terms: 5x + -3(4 + 2x) = 4x + 8 5x + (4 * -3 + 2x * -3) = 4x + 8 5x + (-12 + -6x) = 4x + 8 Reorder the terms: -12 + 5x + -6x = 4x + 8 Combine like terms: 5x + -6x = -1x -12 + -1x = 4x + 8 Reorder the terms: -12 + -1x = 8 + 4x Solving -12 + -1x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -1x + -4x = 8 + 4x + -4x Combine like terms: -1x + -4x = -5x -12 + -5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -5x = 8 + 0 -12 + -5x = 8 Add '12' to each side of the equation. -12 + 12 + -5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 8 + 12 -5x = 8 + 12 Combine like terms: 8 + 12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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