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Simplifying 2(5 + -5x) + 6(3x + 1) = -16 (5 * 2 + -5x * 2) + 6(3x + 1) = -16 (10 + -10x) + 6(3x + 1) = -16 Reorder the terms: 10 + -10x + 6(1 + 3x) = -16 10 + -10x + (1 * 6 + 3x * 6) = -16 10 + -10x + (6 + 18x) = -16 Reorder the terms: 10 + 6 + -10x + 18x = -16 Combine like terms: 10 + 6 = 16 16 + -10x + 18x = -16 Combine like terms: -10x + 18x = 8x 16 + 8x = -16 Solving 16 + 8x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8x = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = -16 + -16 8x = -16 + -16 Combine like terms: -16 + -16 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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