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Simplifying 7(3x + 1) = 4x + -6x Reorder the terms: 7(1 + 3x) = 4x + -6x (1 * 7 + 3x * 7) = 4x + -6x (7 + 21x) = 4x + -6x Combine like terms: 4x + -6x = -2x 7 + 21x = -2x Solving 7 + 21x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 21x + 2x = -2x + 2x Combine like terms: 21x + 2x = 23x 7 + 23x = -2x + 2x Combine like terms: -2x + 2x = 0 7 + 23x = 0 Add '-7' to each side of the equation. 7 + -7 + 23x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 23x = 0 + -7 23x = 0 + -7 Combine like terms: 0 + -7 = -7 23x = -7 Divide each side by '23'. x = -0.3043478261 Simplifying x = -0.3043478261
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