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Simplifying 6(2x + -3) + 38 = 4x + 108 Reorder the terms: 6(-3 + 2x) + 38 = 4x + 108 (-3 * 6 + 2x * 6) + 38 = 4x + 108 (-18 + 12x) + 38 = 4x + 108 Reorder the terms: -18 + 38 + 12x = 4x + 108 Combine like terms: -18 + 38 = 20 20 + 12x = 4x + 108 Reorder the terms: 20 + 12x = 108 + 4x Solving 20 + 12x = 108 + 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. 20 + 12x + -4x = 108 + 4x + -4x Combine like terms: 12x + -4x = 8x 20 + 8x = 108 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 8x = 108 + 0 20 + 8x = 108 Add '-20' to each side of the equation. 20 + -20 + 8x = 108 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 108 + -20 8x = 108 + -20 Combine like terms: 108 + -20 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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