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Simplifying 8x + 4(2 + -3x) = 36 + -6x 8x + (2 * 4 + -3x * 4) = 36 + -6x 8x + (8 + -12x) = 36 + -6x Reorder the terms: 8 + 8x + -12x = 36 + -6x Combine like terms: 8x + -12x = -4x 8 + -4x = 36 + -6x Solving 8 + -4x = 36 + -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. 8 + -4x + 6x = 36 + -6x + 6x Combine like terms: -4x + 6x = 2x 8 + 2x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 2x = 36 + 0 8 + 2x = 36 Add '-8' to each side of the equation. 8 + -8 + 2x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 36 + -8 2x = 36 + -8 Combine like terms: 36 + -8 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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