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Simplifying 8(x + -2) = 2x + 38 Reorder the terms: 8(-2 + x) = 2x + 38 (-2 * 8 + x * 8) = 2x + 38 (-16 + 8x) = 2x + 38 Reorder the terms: -16 + 8x = 38 + 2x Solving -16 + 8x = 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. -16 + 8x + -2x = 38 + 2x + -2x Combine like terms: 8x + -2x = 6x -16 + 6x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 6x = 38 + 0 -16 + 6x = 38 Add '16' to each side of the equation. -16 + 16 + 6x = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 38 + 16 6x = 38 + 16 Combine like terms: 38 + 16 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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