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Simplifying 6(7 + 7x) + -4(1 + 6x) = 38 (7 * 6 + 7x * 6) + -4(1 + 6x) = 38 (42 + 42x) + -4(1 + 6x) = 38 42 + 42x + (1 * -4 + 6x * -4) = 38 42 + 42x + (-4 + -24x) = 38 Reorder the terms: 42 + -4 + 42x + -24x = 38 Combine like terms: 42 + -4 = 38 38 + 42x + -24x = 38 Combine like terms: 42x + -24x = 18x 38 + 18x = 38 Add '-38' to each side of the equation. 38 + -38 + 18x = 38 + -38 Combine like terms: 38 + -38 = 0 0 + 18x = 38 + -38 18x = 38 + -38 Combine like terms: 38 + -38 = 0 18x = 0 Solving 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '18'. x = 0 Simplifying x = 0
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