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Simplifying 6(2x + -3) + 4(7 + -1x) = 26 Reorder the terms: 6(-3 + 2x) + 4(7 + -1x) = 26 (-3 * 6 + 2x * 6) + 4(7 + -1x) = 26 (-18 + 12x) + 4(7 + -1x) = 26 -18 + 12x + (7 * 4 + -1x * 4) = 26 -18 + 12x + (28 + -4x) = 26 Reorder the terms: -18 + 28 + 12x + -4x = 26 Combine like terms: -18 + 28 = 10 10 + 12x + -4x = 26 Combine like terms: 12x + -4x = 8x 10 + 8x = 26 Solving 10 + 8x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8x = 26 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 26 + -10 8x = 26 + -10 Combine like terms: 26 + -10 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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