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Simplifying 36 + 8x = 4(4x + -5) Reorder the terms: 36 + 8x = 4(-5 + 4x) 36 + 8x = (-5 * 4 + 4x * 4) 36 + 8x = (-20 + 16x) Solving 36 + 8x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 36 + 8x + -16x = -20 + 16x + -16x Combine like terms: 8x + -16x = -8x 36 + -8x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 36 + -8x = -20 + 0 36 + -8x = -20 Add '-36' to each side of the equation. 36 + -36 + -8x = -20 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = -20 + -36 -8x = -20 + -36 Combine like terms: -20 + -36 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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