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Simplifying 6x + -2(x + 4) = -38 + -2x Reorder the terms: 6x + -2(4 + x) = -38 + -2x 6x + (4 * -2 + x * -2) = -38 + -2x 6x + (-8 + -2x) = -38 + -2x Reorder the terms: -8 + 6x + -2x = -38 + -2x Combine like terms: 6x + -2x = 4x -8 + 4x = -38 + -2x Solving -8 + 4x = -38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 4x + 2x = -38 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = -38 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = -38 + 0 -8 + 6x = -38 Add '8' to each side of the equation. -8 + 8 + 6x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -38 + 8 6x = -38 + 8 Combine like terms: -38 + 8 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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