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Simplifying 7(6x + 1) = 3(9x + -1x) Reorder the terms: 7(1 + 6x) = 3(9x + -1x) (1 * 7 + 6x * 7) = 3(9x + -1x) (7 + 42x) = 3(9x + -1x) Combine like terms: 9x + -1x = 8x 7 + 42x = 3(8x) Remove parenthesis around (8x) 7 + 42x = 3 * 8x Multiply 3 * 8 7 + 42x = 24x Solving 7 + 42x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 7 + 42x + -24x = 24x + -24x Combine like terms: 42x + -24x = 18x 7 + 18x = 24x + -24x Combine like terms: 24x + -24x = 0 7 + 18x = 0 Add '-7' to each side of the equation. 7 + -7 + 18x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 0 + -7 18x = 0 + -7 Combine like terms: 0 + -7 = -7 18x = -7 Divide each side by '18'. x = -0.3888888889 Simplifying x = -0.3888888889
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