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Simplifying 8 + -4(x + 4) = x + -38 Reorder the terms: 8 + -4(4 + x) = x + -38 8 + (4 * -4 + x * -4) = x + -38 8 + (-16 + -4x) = x + -38 Combine like terms: 8 + -16 = -8 -8 + -4x = x + -38 Reorder the terms: -8 + -4x = -38 + x Solving -8 + -4x = -38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -4x + -1x = -38 + x + -1x Combine like terms: -4x + -1x = -5x -8 + -5x = -38 + x + -1x Combine like terms: x + -1x = 0 -8 + -5x = -38 + 0 -8 + -5x = -38 Add '8' to each side of the equation. -8 + 8 + -5x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -38 + 8 -5x = -38 + 8 Combine like terms: -38 + 8 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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