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Simplifying 5 + 2(3x + -4) = 12x + -11 Reorder the terms: 5 + 2(-4 + 3x) = 12x + -11 5 + (-4 * 2 + 3x * 2) = 12x + -11 5 + (-8 + 6x) = 12x + -11 Combine like terms: 5 + -8 = -3 -3 + 6x = 12x + -11 Reorder the terms: -3 + 6x = -11 + 12x Solving -3 + 6x = -11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 6x + -12x = -11 + 12x + -12x Combine like terms: 6x + -12x = -6x -3 + -6x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -6x = -11 + 0 -3 + -6x = -11 Add '3' to each side of the equation. -3 + 3 + -6x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -11 + 3 -6x = -11 + 3 Combine like terms: -11 + 3 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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