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Simplifying 2(7 + -1x) + -3(2x + -6) = 0 (7 * 2 + -1x * 2) + -3(2x + -6) = 0 (14 + -2x) + -3(2x + -6) = 0 Reorder the terms: 14 + -2x + -3(-6 + 2x) = 0 14 + -2x + (-6 * -3 + 2x * -3) = 0 14 + -2x + (18 + -6x) = 0 Reorder the terms: 14 + 18 + -2x + -6x = 0 Combine like terms: 14 + 18 = 32 32 + -2x + -6x = 0 Combine like terms: -2x + -6x = -8x 32 + -8x = 0 Solving 32 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -8x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 0 + -32 -8x = 0 + -32 Combine like terms: 0 + -32 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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