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Simplifying 5x + -1(2x + 8) = 4x + -12 Reorder the terms: 5x + -1(8 + 2x) = 4x + -12 5x + (8 * -1 + 2x * -1) = 4x + -12 5x + (-8 + -2x) = 4x + -12 Reorder the terms: -8 + 5x + -2x = 4x + -12 Combine like terms: 5x + -2x = 3x -8 + 3x = 4x + -12 Reorder the terms: -8 + 3x = -12 + 4x Solving -8 + 3x = -12 + 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. -8 + 3x + -4x = -12 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = -12 + 0 -8 + -1x = -12 Add '8' to each side of the equation. -8 + 8 + -1x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -12 + 8 -1x = -12 + 8 Combine like terms: -12 + 8 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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