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Simplifying 9(4x + 1) = 3x + -7x Reorder the terms: 9(1 + 4x) = 3x + -7x (1 * 9 + 4x * 9) = 3x + -7x (9 + 36x) = 3x + -7x Combine like terms: 3x + -7x = -4x 9 + 36x = -4x Solving 9 + 36x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 36x + 4x = -4x + 4x Combine like terms: 36x + 4x = 40x 9 + 40x = -4x + 4x Combine like terms: -4x + 4x = 0 9 + 40x = 0 Add '-9' to each side of the equation. 9 + -9 + 40x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 40x = 0 + -9 40x = 0 + -9 Combine like terms: 0 + -9 = -9 40x = -9 Divide each side by '40'. x = -0.225 Simplifying x = -0.225
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