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Simplifying 4x + -5 + 2(x + -3) = 12x + 5 Reorder the terms: 4x + -5 + 2(-3 + x) = 12x + 5 4x + -5 + (-3 * 2 + x * 2) = 12x + 5 4x + -5 + (-6 + 2x) = 12x + 5 Reorder the terms: -5 + -6 + 4x + 2x = 12x + 5 Combine like terms: -5 + -6 = -11 -11 + 4x + 2x = 12x + 5 Combine like terms: 4x + 2x = 6x -11 + 6x = 12x + 5 Reorder the terms: -11 + 6x = 5 + 12x Solving -11 + 6x = 5 + 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. -11 + 6x + -12x = 5 + 12x + -12x Combine like terms: 6x + -12x = -6x -11 + -6x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + -6x = 5 + 0 -11 + -6x = 5 Add '11' to each side of the equation. -11 + 11 + -6x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 5 + 11 -6x = 5 + 11 Combine like terms: 5 + 11 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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