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Simplifying 8x + -38 = 6(x + -4) Reorder the terms: -38 + 8x = 6(x + -4) Reorder the terms: -38 + 8x = 6(-4 + x) -38 + 8x = (-4 * 6 + x * 6) -38 + 8x = (-24 + 6x) Solving -38 + 8x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -38 + 8x + -6x = -24 + 6x + -6x Combine like terms: 8x + -6x = 2x -38 + 2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + 2x = -24 + 0 -38 + 2x = -24 Add '38' to each side of the equation. -38 + 38 + 2x = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -24 + 38 2x = -24 + 38 Combine like terms: -24 + 38 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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