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Simplifying 8(x + 3) + -4 = 2(x + -9) + 50 Reorder the terms: 8(3 + x) + -4 = 2(x + -9) + 50 (3 * 8 + x * 8) + -4 = 2(x + -9) + 50 (24 + 8x) + -4 = 2(x + -9) + 50 Reorder the terms: 24 + -4 + 8x = 2(x + -9) + 50 Combine like terms: 24 + -4 = 20 20 + 8x = 2(x + -9) + 50 Reorder the terms: 20 + 8x = 2(-9 + x) + 50 20 + 8x = (-9 * 2 + x * 2) + 50 20 + 8x = (-18 + 2x) + 50 Reorder the terms: 20 + 8x = -18 + 50 + 2x Combine like terms: -18 + 50 = 32 20 + 8x = 32 + 2x Solving 20 + 8x = 32 + 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. 20 + 8x + -2x = 32 + 2x + -2x Combine like terms: 8x + -2x = 6x 20 + 6x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 6x = 32 + 0 20 + 6x = 32 Add '-20' to each side of the equation. 20 + -20 + 6x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 32 + -20 6x = 32 + -20 Combine like terms: 32 + -20 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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