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Simplifying 9 + 4(2x + 6) = 4 + -2(4x + -8) Reorder the terms: 9 + 4(6 + 2x) = 4 + -2(4x + -8) 9 + (6 * 4 + 2x * 4) = 4 + -2(4x + -8) 9 + (24 + 8x) = 4 + -2(4x + -8) Combine like terms: 9 + 24 = 33 33 + 8x = 4 + -2(4x + -8) Reorder the terms: 33 + 8x = 4 + -2(-8 + 4x) 33 + 8x = 4 + (-8 * -2 + 4x * -2) 33 + 8x = 4 + (16 + -8x) Combine like terms: 4 + 16 = 20 33 + 8x = 20 + -8x Solving 33 + 8x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 33 + 8x + 8x = 20 + -8x + 8x Combine like terms: 8x + 8x = 16x 33 + 16x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 33 + 16x = 20 + 0 33 + 16x = 20 Add '-33' to each side of the equation. 33 + -33 + 16x = 20 + -33 Combine like terms: 33 + -33 = 0 0 + 16x = 20 + -33 16x = 20 + -33 Combine like terms: 20 + -33 = -13 16x = -13 Divide each side by '16'. x = -0.8125 Simplifying x = -0.8125
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