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Simplifying 8(2x + 4) = 3(-3x + -6) Reorder the terms: 8(4 + 2x) = 3(-3x + -6) (4 * 8 + 2x * 8) = 3(-3x + -6) (32 + 16x) = 3(-3x + -6) Reorder the terms: 32 + 16x = 3(-6 + -3x) 32 + 16x = (-6 * 3 + -3x * 3) 32 + 16x = (-18 + -9x) Solving 32 + 16x = -18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 32 + 16x + 9x = -18 + -9x + 9x Combine like terms: 16x + 9x = 25x 32 + 25x = -18 + -9x + 9x Combine like terms: -9x + 9x = 0 32 + 25x = -18 + 0 32 + 25x = -18 Add '-32' to each side of the equation. 32 + -32 + 25x = -18 + -32 Combine like terms: 32 + -32 = 0 0 + 25x = -18 + -32 25x = -18 + -32 Combine like terms: -18 + -32 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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