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Simplifying 3(1 + -3x) = 2(-4 + 7x) (1 * 3 + -3x * 3) = 2(-4 + 7x) (3 + -9x) = 2(-4 + 7x) 3 + -9x = (-4 * 2 + 7x * 2) 3 + -9x = (-8 + 14x) Solving 3 + -9x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 3 + -9x + -14x = -8 + 14x + -14x Combine like terms: -9x + -14x = -23x 3 + -23x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + -23x = -8 + 0 3 + -23x = -8 Add '-3' to each side of the equation. 3 + -3 + -23x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -23x = -8 + -3 -23x = -8 + -3 Combine like terms: -8 + -3 = -11 -23x = -11 Divide each side by '-23'. x = 0.4782608696 Simplifying x = 0.4782608696
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